3. list of papers

23
List of Publications 1957 1. Lee Da-tsin, On ovales of n-type (in Chinese), Advances in Mathematics, 3(1957), 623-627. 1959 2. Lee Da-tsin, On the theory of isotropic hypersurfaces (in Chinese), Journal of Fudan University (Natural Science), 2(1959), 69-84. 1960 3. Gu Chao-hao, Lee Da-tsin et al., The initial value problem for typical hyperbolic systems with discontinuous initial values (in Chinese), Collection of Mathemat- ical Papers, Edited by Mathematics Department of Fudan University, Shanghai Scientific & Technical Publishers, 1960, 1-16. 4. Gu Chao-hao, Lee Da-tsin et al., Supersonic plane flow past a curved wedge (in Chi- nese), Collection of Mathematical Papers, Edited by Mathematics Department of Fudan University, Shanghai Scientific & Technical Publishers, 1960, 17-28. 5. Gu Chao-hao, Lee Da-tsin, Hou Zong-yi, The initial value problem for hyperbolic systems with discontinuous initial values (in Chinese), Collection of Shanghai Scientific & Technical Papers (Mathematics and Chemistry), Shanghai Scientific & Technical Publishers, 1960, I.55-65. 1961 6. Gu Chao-hao, Lee Da-tsin, Hou Zong-yi, The initial value problem for quasilinear hyperbolic systems with discontinuous initial values I (in Chinese), Acta Mathe- matica Sinica, 11(1961), 314-323. 7. Gu Chao-hao, Lee Da-tsin, Hou Zong-yi, The initial value problem for quasilinear hyperbolic systems with discontinuous initial values II (in Chinese), Acta Mathe- matics Sinica, 11(1961), 324-327. 1962 1

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Page 1: 3. List of Papers

List of Publications

1957

1. Lee Da-tsin, On ovales of n-type (in Chinese), Advances in Mathematics, 3(1957),

623-627.

1959

2. Lee Da-tsin, On the theory of isotropic hypersurfaces (in Chinese), Journal of Fudan

University (Natural Science), 2(1959), 69-84.

1960

3. Gu Chao-hao, Lee Da-tsin et al., The initial value problem for typical hyperbolic

systems with discontinuous initial values (in Chinese), Collection of Mathemat-

ical Papers, Edited by Mathematics Department of Fudan University, Shanghai

Scientific & Technical Publishers, 1960, 1-16.

4. Gu Chao-hao, Lee Da-tsin et al., Supersonic plane flow past a curved wedge (in Chi-

nese), Collection of Mathematical Papers, Edited by Mathematics Department of

Fudan University, Shanghai Scientific & Technical Publishers, 1960, 17-28.

5. Gu Chao-hao, Lee Da-tsin, Hou Zong-yi, The initial value problem for hyperbolic

systems with discontinuous initial values (in Chinese), Collection of Shanghai

Scientific & Technical Papers (Mathematics and Chemistry), Shanghai Scientific

& Technical Publishers, 1960, I.55-65.

1961

6. Gu Chao-hao, Lee Da-tsin, Hou Zong-yi, The initial value problem for quasilinear

hyperbolic systems with discontinuous initial values I (in Chinese), Acta Mathe-

matica Sinica, 11(1961), 314-323.

7. Gu Chao-hao, Lee Da-tsin, Hou Zong-yi, The initial value problem for quasilinear

hyperbolic systems with discontinuous initial values II (in Chinese), Acta Mathe-

matics Sinica, 11(1961), 324-327.

1962

1

Page 2: 3. List of Papers

8. Gu Chao-hao, Lee Da-tsin, Hou Zong-yi, The initial value problem for quasilin-

ear hyperbolic systems with discontinuous initial values III (in Chinese), Acta

Mathematics Sinica, 12(1962), 132-143.

9. Lee Da-tsin, Yu Wen-tzu, An ordering principle of generalized solutions of quasi-

linear partial differential equations and its applications (in Chinese), Journal of

Fudan University (Natural Science), 7(1962), 1-10.

1964

10. Lee Da-tsin, Yu Wen-tzu, The Cauchy problem for first order quasilinear hyperbolic

systems (in Chinese), Advances in Mathematics, 7(1964), 152-171.

11. Lee Da-tsin, Yu Wen-tzu, Some existence theorems for quasilinear hyperbolic

systems of partial differential equations in two independent variables I: Typical

boundary value problems, Scientia Sinica, 13(1964), 529-550.

12. Lee Da-tsin, Yu Wen-tzu, Some existence theorems for quasilinear hyperbolic

systems of partial differential equations in two independent variables II: Typi-

cal boundary value problems of functional form and typical free boundary prob-

lems,Scientia Sinica, 13(1964), 551-562.

13. Lee Da-tsin, Yu Wen-tzu, Boundary value problems and discontinuous solutions

for quasilinear hyperbolic systems (in Chinese), Collection of Mathematical Papers

of Fudan University, Shanghai Scientific & Technical Publishers, 1964, 59-94.

1965

14. Lee Da-tsin, Yu Wen-tzu, Some existence theorems for quasilinear hyperbolic

systems of partial differential equations in two independent variables III: Gen-

eral boundary value problems and general free boundary problems, Scientia Sinica,

14(1965), 1065-1067.

15. Lee Da-tsin, Yu Wen-tzu, Some existence theorems for quasilinear hyperbolic

systems of partial differential equations in two independent variables III: General

boundary value problems and general free boundary problems (in Chinese), Journal

of Fudan University (Natural Science), 10(1965), 113-128.

1973

16. Jiang Er-xiong, Lee Da-tsin, Chen Han-lin, Solving the problem of stationary

temperature distribution by the finite element method (in Chinese), Journal of

Fudan University (Natural Science), No.2(1973), 10-24.

2

Page 3: 3. List of Papers

1974

17. Lee Da-tsin, Lee Li-kang, Computation on the frequencies of the beam vibration

(in Chinese), Acta Mathematica Sinica, 17(1974), 89-99.

18. Lee Da-tsin, Wang Jing-yin, Shi Li-qiang, Study of computing the temperature

distribution of the piston of the internal combustion engine by the finite element

method (in Chinese), Internal Combustion Engine, 9(1974), 10-25.

1976

19. Li Da-qian, Zheng Song-mu, Tan Yong-ji, Shang Han-ji, Gao Ru-xi, Shen Wei-xi,

Boundary value problems with equal value surface boundary conditions for self-

adjoint elliptic differential equations I (in Chinese), Journal of Fudan University

(Natural Science), No.1(1976), 61-71.

20. Li Da-qian, Zheng Song-mu, Tan Yong-ji, Shang Han-ji, Gao Ru-xi, Shen Wei-xi,

Boundary value problems with equal value surface boundary conditions for selfad-

joint elliptic differential equations II (in Chinese), Journal of Fudan University

(Natural Science), No.3-4(1976), 136-145.

1978

21. Gu Chao-hao, Hu He-sheng, Li Da-qian, Shen Chun-li, Xin Yuan-long, Yang Chen-

ning, Riemannian spaces with local duality and gravitational instantons, Scientia

Sinica, 21(1978), 475-482.

22. Li Da-qian, Lu Zhong-ming, On the computation of the flexural center (in Chinese),

Acta Mathematicae Applagatae Sinica, 1(1978), 123-129.

23. Li Da-qian, Chen Shu-xing, Zheng Song-mu, Tan Yong-ji, On boundary value

problems of the self-adjoint elliptic equation with complementary boundary con-

ditions (in Chinese), Journal of Fudan University (Natural Science), No.2(1978),

49-60.

24. Li Da-qian, Chen Shu-xing, On asymptotic behaviors of solutions of equi-valued

surface boundary value problems for the second order self-adjoint elliptic equation

(in Chinese), Journal of Fudan University (Natural Science), No.4(1978), 6-14.

25. Shao Wei-yan, Li Da-qian, Li Rui-xia, Study of computing the bending strength

of the crank of the internal combustion engine by the finite element method (in

Chinese), Internal Combustion Engine, 19(1978), 178-187.

3

Page 4: 3. List of Papers

1979

26. Li Da-qian, Zheng Song-mu, Tan Yong-ji, Wang Jing-nong, Chen Fan-xiang, Li

Chang-yuan, An examination of performance of the pole-panel of microspheric

focusing log by computers (in Chinese), Acta Mathematicae Applagatae Sinica,

2(1979), 13-24.

27. Li Da-qian, Yu Wen-ci, The local solvability of the boundary value problems for

quasilinear hyperbolic systems of partial differential equations (in Chinese), Jour-

nal of Fudan University (Natural Science), No.2(1979), 83-93.

28. Li Ta-tsien, Une remarque sur un probleme a frontiere libre, C. R. Acad. Sc.,

Paris, 289, Serie A (1979), 99-102.

29. Li Ta-tsien, Proprietes d’espaces fonctionnels intervenant en controle optimal, C.

R. Acad. Sc., Paris, 289, Serie A (1979), 687-690.

1980

30. Li Da-qian, Yu Wen-ci, Local solvability of the boundary value problems for quasi-

linear hyperbolic systems, Scientia Sinica, 23(1980), 1357-1367.

31. Li Ta-tsien, Proprietes d’espaces fonctionnels et problemes de controle optimal des

systemes gouvernes par des equations paraboliques, C. R. Acad. Sc., Paris, 290,

Serie A (1980), 697-700.

32. A. Damlamian, Li Ta-tsien, Comportement limite des solutions de certains prob-

lemes mixtes pour des equations paraboliques, C. R. Acad. Sc., Paris, 290, Serie

A (1980), 957-960.

33. Li Ta-tsien, Problemes aux limites et solutions discontinues pour les systemes

hyperboliques quasi lineaires d’ordre 1, Seminaire Goulaouic-Schwartz, 1979-1980.

34. Li Ta-tsien, Comportements limites des solutions de certains problemes mixtes

pour des equations paraboliques et leurs applications, Journees “Equations aux

Derivees Partielles”, Saint-Jean-de-Monts, 1980.

35. Li Ta-tsien, Comportements limites pour certains problemes du controle optimal

de systemes gouvernes par des equations paraboliques, C. R. Acad. Sc., Paris,

291, Serie A (1980), 201-204.

36. A. Damlamian, Li Ta-tsien, Comportement limite des solutions de certains prob-

lemes mixtes pour des equations hyperboliques lineaires, C. R. Acad. Sc., Paris,

291, Serie A (1980), 531-534.

4

Page 5: 3. List of Papers

37. Li Da-qian, On a free boundary problem, Chin. Ann. of Math., 1(1980), 351-358.

1981

38. Li Ta-tsien, Global regularity and formation of singularities of solutions to first

order quasilinear hyperbolic systems, Proceedings of the Royal Society of Edin-

burgh, 87A(1981), 255-261.

39. Li Ta-tsien, Yu Wen-tzu, Boundary value problems for the frist order quasilinear

hyperbolic systems and their applications, J. of Diff. Equations, 41(1981), 1-26.

40. Li Ta-tsien, Yu Wen-tzu, On the necessity of the conditions of solvability of the

typical boundary value problems for quasilinear hyperbolic systems, Commu. in

PDE., 6(1981), 1225-1234.

41. Li Ta-tsien, Comportements limites des solutions de certains equations paraboli-

ques d’ordre superieur et leurs applications au controle optimal, C. R. Acad. Sc.,

Paris, 293, Serie A (1981), 205-209.

42. Li Ta-tsien, Yu Wen-tzu, Shen Wei-shi, Boundary value problems and free bound-

ary problems for quasi-linear hyperbolic-parabolic coupled systems, MRC Technical

Summary Report #2273, 1981.

43. Li Ta-tsien, Properties of the function space U , Appendix 1 of Chapter 4 of

J.L.Lions’ Book “Some methods in the mathematical analysis of systems and

their control”, Science Press, Beijing, China, 1981, 289-297.

44. Li Ta-tsien, Limit behaviors of solutions for some problems of optimal control of

systems governed by parabolic equations, Appendix 2 of Chapter 4 of J.L.Lions’

Book “Some methods in the mathematical analysis of systems and their control”,

Science Press, Beijing, China, 1981, 299-313.

45. Li Da-qian, Yu Wen-ci, Shen Wei-xi, Cauchy’s problem for quasilinear hyperbolic-

parabolic coupled systems (in Chinese), Acta Mathematicae Applicatae Sinica,

4(1981), 321-328.

46. Li Da-qian, Yu Wen-ci, Shen Wei-xi, Second initial-boundary value problems for

quasi-linear hyperbolic-parabolic coupled systems (in Chinese), Chin. Ann. of

Math., 2(1981), 65-90.

1982

5

Page 6: 3. List of Papers

47. A. Damlamian, Li Ta-tsien, Comportement limite des solutions de certains prob-

lemes mixtes pour des equations paraboliques, J. de Math. Pures et Appl., 61(1982),

113-130.

48. A. Damlamian, Li Ta-tsien, Comportement limite des solutions de certains prob-

lemes mixtes pour des equations hyperboliques lineaires, Commu. in PDE., 7(1982),

117-139.

49. Li Ta-tsien, Limit behaviors of solutions for some parabolic equations of higher

order and their applications to the optimal control, Chin. Ann. of Math., 3(1982),

527-544.

50. A. Damlamian, Li Ta-tsien, Comportement limite des solutions de certains prob-

lemes mixtes pour des equations paraboliques II, Acta Mathematica Scientia,

2(1982), 85-104.

51. Li Ta-tsien, Some approximations of solutions for pointwise control problems of

systems governed by parabolic equations, Proceedings of the Bilateral Meeting on

Control Systems, Science Press, Beijing, China, 1982, 649-657.

52. Li Ta-tsien, Problemes aux limites et solutions discontinues pour les systemes

hyperboliques quasi-lineaires d’ordre 1, College de France Seminal vol 2: Nonlin-

ear partial differential equations and their applications (edited by H.Brezis and

J.L.Lions), Pitman, 1982, 265-302.

53. Li Da-qian, Shi Jia-hong, Globally smooth solutions in the whole space for first

order quasilinear equations (in Chinese), Journal of Fudan University (Natural

Science), 21(1982), 361-366.

54. Li Ta-tsien, Yu Wen-ci, Solutions regulieres globales des systemes hyperboliques

quasi lineaires d’ordre 1, J.Math.Pures et Appl., 4(1982), 401-409.

1983

55. Hsiao Ling, Li Ta-tsien, Global smooth solution of Cauchy problems for a class of

quasilinear hyperbolic systems, Chin. Ann. of Math., 4B(1993), 107-115.

56. Li Ta-tsien, Shi Jia-hong, Singularities of solutions for first order quasilinear

hyperbolic systems, Proceedings of the Royal Society of Edinburgh, 94A (1983),

137-147.

57. Li Ta-tsien, Total flux boundary value problems and their numerical solutions,

Collected Papers of the China-U.S. Workshop on “Advances in Computational

Engineering Mechanics”, 1983, 100-108.

6

Page 7: 3. List of Papers

58. Li Ta-tsien, L. W. White, Total flux (nonlocal) boundary value problems for

pseudo-parabolic equations, Applicable Analysis, 1(1983), 17-31.

1984

59. Li Tatsien, Yu Wentzu, Shen Weixi, Frist initial-boundary value problem for

quasilinear hyperbolic-parabolic coupled systems, Chin. Ann. of Math., 5B(1984),

77-90.

60. Li Tatsien, Yu Wentzu, Shen Weixi, Mixed initial boundary value problem with

the interface for quasilinear hyperbolic-parabolic coupled systems, Chin. Ann. of

Math., 5B(1984), 339-356.

61. J. M. Greenberg, Li Ta-tsien, The effect of boundary damping for the quasilinear

wave equation, J. of Diff. Equations, 52(1984), 66-75.

62. Li Ta-tsien, Shi Jia-hong, Global solvability in the whole space for a class of first

order quasilinear hyperbolic systems, Chin. Ann. of Math., 5B(1984), 241-248.

63. Li Ta-tsien, Yu Wen-ci, Problemes d’onde centree pour les systemes hyperboliques

quasi lineaires et applications, C. R. Acad. Sc., Paris, 299, Serie I, No.9(1984),

375-378.

64. A.Damlamian, Li Ta-tsien, Homogeneisation sur le bord pour des problemes ellip-

tiques, C. R. Acad. Sc., Paris, 299, Serie I, No.17 (1984), 859-862.

65. Li Ta-tsien, Global smooth solutions and development of singularities for non-

linear hyperbolic partial differential equations, Proceedings of the 1981 Shanghai

Symposium on Differential Geometry and Differential Equations, Science Press,

Beijing, China, 1984, 187-191.

66. Li Ta-tsien, Li Cai-zhong, Global smooth solutions for inhomogeneous quasilinear

hyperbolic systems, Acta Mathematica Scientia, 4(1984), 497-507.

67. Li Da-qian, Gao Ru-xi, Tan Yong-ji, Purturbation for elliptic PDEs with sin-

gular inhomogeneous terms (in Chinese), Journal of Fudan University (Natural

Science), 23(1984), 469-474.

1985

68. Li Ta-tsien, Qin Tiehu, Global smooth solutions for a class of quasilinear hyperbolic

systems with dissipative terms, Chin. Ann. of Math., 6B (1985), 199-210.

7

Page 8: 3. List of Papers

69. Li Ta-tsien, Some free boundary problems for quasilinear hyperbolic systems, Free

Boundary Problems: Applications and Theory, Volume IV (edited by A.Bossavit,

A.Damlamian and M.Fremond), Research Notes in Mathematics 121, Pitman,

1985, 582-592.

70. Mikio Tsuji, Li Ta-tsien, Globally classical solutions for nonlinear equations of

first order, Commu. in PDE., 10(1985), 1451-1463.

71. Li Da-qian, Qin Tie-hu, A necessary and sufficient condition for global existence of

smooth solutions to Cauchy problem for first order quasilinear hyperbolic systems

(in Chinese), Acta Mathematica Sinica, 28 (1985), 606-613.

1986

72. Li Ta-tsien, Yu Wen-tzu, Shen Wei-shi, Boundary value problems and free bound-

ary problems for quasi-linear hyperbolic-parabolic coupled systems, Proceedings

of the 1982 Changchun Symposium on Differential Geometry and Differential

Equations, Science Press, Beijing, China, 1986, 491-500.

73. Li Da-qian, PDE models for the dynamics of infectious diseases with non-lifelong

immunity (in Chinese), Journal of Biomathematics, 1(1986), 29-36.

74. Li Da-qian, Zhao Yan-chun, Vacuum problems for the system of one dimensional

isentropic flow (in Chinese), Chinese Quarterly Journal of Mathematics, 1(1986),

41-46.

75. Li Da-qian, Yu Wen-ci, Centered waves for quasilinear hyperbolic systems (in

Chinese), Journal of Fudan University (Natural Science), 25(1986), 195-206.

76. Li Da-qian, Yu Wen-ci, The centered wave problem for quasilinear hyperbolic

systems (in Chinese), Chin. Ann. of Math., 7A(1986), 423-436.

77. Li Da-qian, Yu Wen-ci, On the discontinuity relations for quasilinear hyperbolic

systems (in Chinese), Journal of Engineering Mathematics, No.2, 2(1986), 1-10.

78. Li Da-qian, A PDE model for the dynamics of inflectious diseases (in Chinese),

Applied Mathematics, A Journal of Chinese University, 1(1986), 17-26.

79. Li Ta-tsien, Nonlocal boundary value problems and homogenization of boundary

conditions, International Workshop on Applied Differential Equations, World Sci-

entific, 1986, 267-275.

8

Page 9: 3. List of Papers

80. Li Ta-tsien, Chen Shuxing, Regularity and singularity of solutions for nonlinear

hyperbolic equations, Advances in Science of China, Mathematics, vol.1(1986),

129-162.

81. Li Ta-tsien, Yu Wen-tzu, Shen Wei-shi, Boundary value problems and free bound-

ary problems for quasi-linear hyperbolic-parabolic coupled systems, Proceedings

of the 1982 Changchun Symposium on Differential Geometry and Differential

Equations, Science Press, Beijing, China, 1986, 491-500.

82. Li Ta-tsien, Shi Jia-hong, On the global smooth solutions for first order quasilinear

hyperbolic systems, Proceedings of the 1982 Changchun Symposium on Differen-

tial Geometry and Differential Equations, Science Press, Beijing, China, 1986,

485-490.

1987

83. Li Da-qian, Elastic torsion of bars with multiply-connected cross section (in Chi-

nese), Communication on Applied Mathematics and Computation, 1(1987), 19-

24.

84. Li Ta-tsien, Global solutions for some free boundary problems for quasi-linear hy-

perbolic systems and applications, Nonlinear Hyperbolic Problems (Proceedings,

St.Etienne 1986, edited by C.Carasso, P.A.Raviart and D.Serre), Lecture Notes

in Mathematics 1270, Springer-Verlag, 1987, 195-209.

85. Li Ta-tsien, Chen Yun-mei, Solutions regulieres globales du probleme de Cauchy

pour les equations des ondes non lineaires, C. R. Acad. Sci., Paris, 305, Serie

1(1987), 171-174.

86. Li Da-qian, Yu Wen-ci, Mixed-value problems for quasilinear hyperbolic equations

with characteristic initial axis (in Chinese), Journal of Fudan University (Natural

Science), 26(1987), 1-9.

87. Li Ta-tsien, Effect of damping terms on the regularity of solutions to quasilinear

wave equations, The Advances of Applied Mathematics and Mechanics in China,

Vol.1(1987), 88-96.

88. A. Damlamian, Li Ta-tsien, Boundary homogenization for elliptic problems, J.

Math. Pures et Appl., 66(1987), 351-361.

89. Li Da-qian, Yu Wen-ci, The discontinuous initial value problem for quasilinear hy-

perbolic systems (in Chinese), Journal of Engineering Mathematics, No.2, 4(1987),

1-12.

9

Page 10: 3. List of Papers

1988

90. Li Ta-tsien, Chen Yun-mei, Initial value problems for nonlinear heat equations,

J.Partial Differential Equations, Vol.I, 1(1988), 1-11.

91. Li Ta-tsien, Chen Yun-mei, Initial value problems for nonlinear wave equations,

Commu. in PDE., 13(1988), 383-422.

92. Li Ta-tsien, Zhao Yan-chun, Global perturbation of the Riemann problem for the

system of one-dimensional isentropic flow, Partial Differential Equations (Pro-

ceedings, Tianjin 1986, edited by S.S.Chern), Lecture Notes in Mathematics 1306,

Springer-Verlag, 1988, 131-140.

93. Li Ta-tsien, Tang Qi, A class of boundary homogenization problems for parabolic

equations, Asymptotic Analysis, 1(1988), 205-212.

94. Li Ta-tsien, Zhao Yan-chun, Globally defined classical solutions to free boundary

problems with characteristic boundary for quasilinear hyperbolic systems, Chin.

Ann. of Math., 9B(1988), 362-371.

1989

95. Li Ta-tsien, Zhao Yan-chun, Global discontinuous solutions to a class of discon-

tinuous initial value problem for the system of isentropic flow and applications,

Chin. Ann. of Math., 10B(1989), 1-18.

96. Mikio Tsuji, Li Ta-tsien, Remarks on characteristics of partial differential equa-

tions of first order, Funkcialaj Ekvacioj, 32(1989), 157-162.

97. Li Ta-tsien, Chen Yun-mei, A note on the global existence of classical solutions to

nonlinear wave equations, Chin. Ann. of Math., 10A(1989), 317-327 (in Chinese);

Chinese Journal of Contemporary Mathematics, 2(1989), 163-176.

98. Li Ta-tsien, Yu Xin, Duree de vie des solutions regulieres pour les equations des

ondes non lineaires, C. R. Acad. Sci., Paris, 309, Serie 1(1989), 469-472.

99. Li Ta-tsien, Yu Xin, Life-span of classical solutions to fully nonlinear wave equa-

tions, IMA Preprint Series 529, June 1989.

100. Ph. le Floch, Li Ta-tsien, Un developpement asymptotique defini globalement

en temps pour la solution du probleme de Riemann generalise, C. R. Acad. Sci.,

Paris, 309, Serie 1(1989), 807-810.

10

Page 11: 3. List of Papers

101. Li Ta-tsien, A class of non-local boundary value problems for partial differential

equations and its applications in numerical analysis, J. of Computational and

Applied Mathematics, 28(1989), 49-62.

102. Li Ta-tsien, Tan Yong-ji, Some identification problems in petroleum geophysics,

Control of Boundaries and Stabilization (Proceedings of the IFIP WG 7.2 Con-

ference, Clermont Ferrand, France, June 20-23, 1988, edited by J.Simon), Lecture

Notes in Control and Information Sciences 125, Springer-Verlag, 1989, 199-210.

103. Li Ta-tsien, Chen Yun-mei, Global classical solutions to the Cauchy problem for

non-linear wave equations, Nonlinear Hyperbolic Problems (Proceedings, Bor-

deaux 1988, edited by C.Carasso, P.Charrier, B.Hanouzet and J.-L.Joly), Lecture

Notes in Mathematics 1402, Springer-Verlag, 1989, 198-202.

1990

104. Li Ta-tsien, Zhao Yan-chun, Global existence of classical solutions to the typical

free boundary problem for general quasilinear hyperbolic systems and its applica-

tions, Chin. Ann. of Math., 11B(1990), 15-32.

105. Li Ta-tsien, Zhao Yan-chun, Global classical solutions to typical free-boundary

problems for quasilinear hyperbolic systems, Scientia Sinica, Series A, 33(1990),

769-783.

106. Li Ta-tsien, Zhao Yan-chun, Solutions discontinues globales du probleme de Rie-

mann generalise pour les systemes hyperboliques quasilineaires de lois de conser-

vation, C. R. Acad. Sci., Paris, 310, Serie 1(1990), 111-114.

107. Li Ta-tsien, Propagation of shocks and globally defined classical discontinuous

solutions for quasilinear hyperbolic systems, Free Boundary Problems: Theory

and Applications, Volume II (edited by K. H. Hoffmann and J. Sprekels), Pitman

Research Notes in Mathematics Series 186, Longman Scientific & Technical, 1990,

747-749.

1991

108. Li Ta-tsien, Tan Yong-ji et al., Mathematical methods for the spontaneous poten-

tial well-logging, Proceedings of Venice-1 Symposium on Applied and Industrial

Mathematics (edited by R.Spigler), Kluwer Academic Publishers, 1991, 343-349.

109. Li Ta-tsien, Yu Xin and Zhou Yi, Duree de vie des solutions regulieres pour les

equations des ondes non lineaires unidimensionnelles, C. R. Acad. Sc., Paris,

312, Serie I(1991), 103-105.

11

Page 12: 3. List of Papers

110. Li Ta-tsien, Yu Xin and Zhou Yi, Probleme de Cauchy pour les equations des

ondes non lineaires avec petites donnees initiales, C. R. Acad. Sc., Paris, 312,

Serie I(1991), 337-340.

111. Ph.Le Floch, Li Ta-tsien, A global asymptotic expansion for the solution to the

generalized Riemann problem, Asymptotic Analysis, 3(1991), 321-340.

112. Li Ta-tsien, Lower bounds of the life-span of small classical solutions for nonlin-

ear wave equations, Microlocal Analysis and Nonlinear Waves (edited by M.Beals,

R.Melrose and J.Rauch), Vol.30, IMA Volumes in Mathematics and its Applica-

tions, Springer-Verlag, 1991, 125-136.

113. Li Ta-tsien and Yu Xin, Life-span of classical solutions to fully nonlinear wave

equations, Commu. in PDE., 16 (1991), 909-940.

114. Li Ta-tsien and Zhao Yan-chun, Global shock solutions to a class of piston prob-

lems for the system of one dimensional isentropic flow, Chin. Ann. of Math.,

12B (1991), 495-499.

115. Li Ta-tsien, Life-span of classical solutions to nonlinear wave equations, Qual-

itative Aspects and Applications of Nonlinear Evolution Equations (edited by

T.T.Li and P.De Mottoni), World Scientific, 1991, 43-76.

116. Li Ta-tsien, A note on the generalized Riemann problem, Acta Mathematica

Scientia, 11 (1991), 283-289.

1992

117. Li Ta-tsien, Yu Xin, Zhou Yi, Life-span of classical solutions to one dimensional

nonlinear wave equations, Chin. Ann. of Math., 13B(1992), 266-279.

118. Li Ta-tsien, D. Serre, Zhang Hao, The generalized Riemann problem for the

motion of elastic strings, SIAM J. Math. Anal., 23(1992), 1189-1203.

119. Li Ta-tsien, Zhou Yi, Life-span of classical solutions to fully nonlinear wave

equations II., Journal of Nonlinear Analysis, Theory, Methods & Applications,

19(1992), 833-853.

1993

120. Li Ta-tsien, Zhou Yi, Life-span of classical solutions to nonlinear wave equations

in two-space-dimension II, J. of Partial Differential Equations, 6(1993), 17-38.

12

Page 13: 3. List of Papers

121. Li Ta-tsien, Tang Qi, Li Rui-xia, Asymptotic analysis for the heat process of a

rotary workpiece, Applicable Analysis, 49(1993), 85-92.

122. Li Ta-tsien, Zhou Yi, Life span of classical solutions to nonlinear wave equations

in two space dimensions, Nonlinear Partial Differential Equations — Proceed-

ings of International Conference (edited by Dong Guangchang and Lin Fanghua),

International Academic Publishers, 1993, 132-136.

123. Li Ta-tsien, Zhou Yi, Kong De-xing, Degenerescence lineaire faible et solutions

regulieres globales pour les systemes hyperboliques quasi lineaires d’ordre 1, C. R.

Acad. Sci., Paris, 317, Serie I (1993), 571-574.

124. Li Ta-tsien, Peng Yue-jun, Probleme de Riemann generalise pour une sorte de

systemes des cables, Portugaliae Mathematica, 50(1993), 407-437.

1994

125. Li Ta-tsien, Zhou Yi, Life-span of classical solutions to nonlinear wave equations

in two space dimensions, J. Math. Pures et Appl., 73(1994), 223-249.

126. Li Ta-tsien, Zhou Yi, Nonlinear stablity for two space dimensional wave equations

with higher order perturbations, Nonlinear World, 1(1994), 35-58.

127. Li Ta-tsien, Weak linear degeneracy and lifespan of classical solutions for first

order quasilinear hyperbolic systems, Proceedings of the Workshop on Qualitative

Aspects and Applications of Nonlinear Evolution Equations (edited by H. Beirao

da Veiga & T. T. Li), World Scientific, 1994, 48-63.

128. Li Ta-tsien, The generalized Riemann problem for quasilinear hyperbolic sys-

tems of conservation laws, Partial Differential Equations in China (edited by Gu

Chaohao, Ding Xiaxi and Yang Chung-chun), Mathematics and its Applications,

Kluwer Academic Publishers, 1994, 80-103.

129. Li Ta-tsien, Tan Yongji, Peng Yuejun, Mathematical model and method for

spontaneous potential well-logging, European Journal of Applied Mathematics,

5(1994), 123-139.

130. Li Ta-tsien, Zhou Yi, Kong De-xing, Weak linear degeneracy and global classical

solutions for general quasilinear hyperbolic systems, Commu. in PDE., 19(1994),

1263-1318.

131. Li Ta-tsien, J. F. Rodrigues, Zhu Chen, Limit behaviour of solutions to a class of

non-linear and non-local boundary value problems, Asymptotic Analysis, 9(1994),

297-310.

13

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1995

132. Li Ta-tsien, Zhou Yi, Duree de vie des solutions regulieres pour les equations des

ondes non lineaires en dimension quatre d’espaces, C. R. Acad. Sc., Paris, 320,

Serie I (1995), 41-44.

133. Li Ta-tsien, Zhou Yi, Breakdown of solutions to 2u + ut = |u|1+α, Discrete and

Continuous Dynamical Systems, 1(1995), 503-520.

134. Li Ta-tsien, Tan Yongji, Mathematical problems and methods in resisitivity well-

loggings, Surveys on Mathematics for Industry, 5(1995), 133-167.

135. Li Ta-tsien, Zhou Yi, A note on the life-span of classical solutions to nonlin-

ear wave equations in four space dimensions, Indiana University Mathematics

Journal, 44(1995), 1207-1248.

136. Li Ta-tsien, Global classical solutions to fully nonlinear wave equations, Proceed-

ings of WCNA, Vol.I(1995), 67-72.

137. Li Ta-tsien, Zhou Yi, Life-span of classical solutions to fully nonlinear wave

equations in four space dimensions, Proceedings of the 1994 Beijing Symposium

on Nonlinear Evolution Equations and Infinite Dimensional Dynamical Systems

(edited by Guo Boling), Zhongshan (Sun Yatsen) University Press, 1995, 12-22.

1996

138. Li Ta-tsien, Kong De-xing, Blow up of periodic solutions to quasilinear hyperbolic

systems, Nonlinear Analysis, Theory, Methods & Applications, 26(1996), 1779-

1789.

139. Li Ta-tsien, Life-span of classical solutions to nonlinear wave equations in four

space dimensions, RIMS Kokyroku 966, Nonlinear Evolution Equations and Ap-

plications, September 1996, Research Institute for Mathematical Sciences, Kyoto

University, Kyoto, Japan; Proceedings of the Conference on Nonlinear Evolution

Equations and Infinite-Dimensional Dynamical Systems (edited by Li Ta-tsien),

World Scientific, 1997, 90-100.

140. Li Ta-tsien, Kong De-xing, Zhou Yi, Global classical solutions for quasilinear

non-strictly hyperbolic systems, Nonlinear Studies, 3(1996), 203-229.

1997

14

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141. Li Ta-tsien, Zhou Yi, Kong De-xing, Global classical solutions for general quasi-

linear hyperbolic systems with decay initial data, Nonlinear Analysis, Theory,

Methods & Applications, 28(1997), 1299-1332.

142. Li Ta-tsien, Nonlinear heat conduction with finite speed of propagation, China-

Japan Symposium on Reaction-Diffusion Equations and Their Applications and

Computational Aspects (edited by T. T. Li, M. Mimura, Y. Nishiura and Q. X.

Ye), World Scientific, 1997, 81-91.

143. Li Ta-tsien, Zhou Yi, Kong De-xing, Weak linear degeneracy and global exis-

tence of classical solutions for quasilinear hyperbolic systems, AMS/IP Studies in

Advanced Mathematics, Volume 3, 1997, 283-291.

144. Li Ta-tsien, Kong De-xing, Solutions globales avec discontinuites de contact pour

les systemes hyperboliques quasi lineaires de lois de conservation, C. R. Acad.

Sci. Paris, 324, Serie I (1997), 621-626.

145. Li Ta-tsien, Global solutions to the system of the motion of elastic strings, Com-

putational Science for the 21st Century, John Wiley & Sons, 1997, 13-22.

146. Li Ta-tsien, Kong De-xing, Global existence of solutions to a class of nonlin-

ear systems of functional differential equations, Advances in Nonlinear Dynamics

(Stability and Control: Theory, Methods and Applications — Volume 5), (edited

by A. A. Martynyuk and S. Sivasundaram), 1997, 349-353.

147. Li Ta-tsien, Kong De-xing, Initial value problem for general quasilinear hyper-

bolic systems with characteristics with constant multiplicity, J. Partial Differential

Equations, 10(1997), 299-322.

148. Li Ta-tsien, Global regularity and breakdown of nonlinear hyperbolic waves,

GAKUTO International Series, Mathematical Sciences and Applications, Vol.10

(1997), 267-276. Nonlinear Waves, Proceedings of the Fourth MSJ International

Research Institute, Sapporo, July 10-21, 1995, edited by R. Agemi, Y. Giga & T.

Ozawa.

149. Li Ta-tsien, Asymptotic stability of the null solution for infinite-dimensional

dynamical systems (in Chinese), NATURE Journal (Ziran Zazhi), Vol.19, Sup-

plement (1997), 1-15; Papers on Science and Technology of China (Volume of

Academicians) 1, edited by Zhu Guangya & Zhou Guangzhao, Scientific & Tech-

nical Literature Publishers, Beijing, 1998, 150-159.

1998

15

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150. Li Ta-tsien, Zhang Bing-yu, Global exact controllability of a class of quasi-

linear hyperbolic systems, Journal of Mathematical Analysis and Applications,

225(1998), 289-311.

1999

151. Shi Yuming, Li Ta-tsien, Qin Tiehu, Periodic travelling wave solutions of nonlin-

ear wave equations, Nonlinear Analysis, Series A: Theory and Methods, 35(1999),

917-923.

152. Li Ta-tsien, Global solutions with contact discontinuities for quasilinear hyperbolic

systems of conservation laws, Proceeding of the IUTAM Symposium on Variations

of Domains and Free-Boundary Problems in Solid Mechanics, Paris, France, April

22-25, 1997 (edited by P. Argoul, M. Fremond and Q. S. Nguyen), Solid Mechanics

and its Applications, Volume 66, Kluwer Academic Publishers, 1999, 253-260.

153. Li Ta-tsien, Kong De-xing, Global classical discontinuous solutions to a class of

generalized Riemann problem for general quasilinear hyperbolic systems of con-

servation laws, Commun. in Partial Differential Equations, 24(1999), 801-820.

154. Li Ta-tsien, Kong De-xing, Global classical solutions with small amplitude for

general quasilinear hyperbolic systems, New Approaches in Nonlinear Analysis

(edited by Themistocles M. Rassias), Hadronic Press, 1999, 203-237.

155. Li Ta-tsien, Kong De-xing, Explosion des solutions regulieres pour les systemes

hyperboliques quasi-lineaires, C. R. Acad. Sci. Paris, t.329, Serie I(1999), 287-292.

156. Li Ta-tsien, Mechanism of formation of singularities for quasilinear hyperbolic

systems, Luso-Chinese Symposium on Nonlinear Evolution Equations and Their

Applications (edited by T. T. Li, L. W. Lin and J. F. Rodrigues), World Scientific,

1999, 128-139.

157. Li Ta-tsien, Yan Jinhai, Limit behaviour of solutions to certain kinds of boundary

value problems with equivalued surface, Asymptotic Analysis, 21(1999), 23-35.

2000

158. Li Ta-tsien, Rao Bopeng, Jin Yi, Solution C1 semi-globale et controlabilite exacte

frontiere de systemes hyperboliques quasi lineaires reductibles, C. R. Acad. Sci.

Paris, t.330, Serie I(2000), 205-210.

159. Li Ta-tsien, Rao Bopeng, Jin Yi, Semi-global C1 solutions and exact boundary

controllability for reducible quasilinear hyperbolic systems, Mathematical Mod-

elling and Numberical Analysis, 34(2000), 399-408.

16

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160. Li Ta-tsien, Kong De-xing, Breakdown of classical solutions to quasilinear hy-

perbolic systems, Nonlinear Analysis, Theory, Methods & Applications, Series A,

40(2000), 407-437.

161. Li Ta-tsien, Peng Yue-jun, Parameter identification in SP well-logging, Inverse

Problems, 16(2000), 357-372.

162. Li Ta-tsien, Une remarque sur les coordonnees normalisees et ses applications

aux systemes hyperboliques quas: lineaires, C. R. Acad. Sci. Paris, t.331, Serie

I(2000), 447-452.

2001

163. Li Ta-tsien, A remark on the normalized coordinates and its applications to quasi-

linear hyperbolic systems, Optimal Control and Partial Differential Equations, J.

L. Menaldi et al. (Eds.), IOS Press, 2001, 181–187.

164. Li Ta-tsien, Jin Yi, Semi-globale C1 solution to the mixed initial-boundary value

problem for quasilinear hyperbolic systems, Chin. Ann. of Math., 22B(2001),

325–336.

165. Li Ta-tsien, Rao Bopeng, Jin Yi, Solution C1 semi-globale et controlabilite exacte

frontiere de systemes hyperboliques qusi lineaires, C. R. Acad. Sci. Paris, t.333,

Serie I (2001), 219–224.

2002

166. Kong Dexing, Li Ta-tsien, A note on blow-up phenomenon of classical solu-

tions to quasilinear hyperbolic systems, Nonlinear Analysis, Series A: Theory and

Methods, 49(2002), 535-539.

167. Li Tatsien, Sheng Wancheng, The general multi-dimensional Riemann problem

for hyperbolic systems with real constant coefficients, Discrete and Continuous

Dynamical Systems, 8(2002), 737–744.

168. Li Tatsien, Rao Bopeng, Local exact boundary Controllability for a class of

quasilinear hyperbolic systems, Chin. Ann. Math., 23B(2002), 209–218.

169. Li Tatsien, Global propagation of regular nonlinear hyperbolic waves, Recent

Progress in Computational and Applied PDEs, Conference Proceedings for the

International Conference Held in Zhangjiajie in July 2001, Edited by Tong Chen

et al., Kluwer Academic/Plenum Publishers, 2002, 243-258.

17

Page 18: 3. List of Papers

170. Li Tatsien, Sheng Wancheng, The general Riemann problem for the linearized

system of two-dimensional isentropic flow in gas dynamics, J. Math. Anal. Appl.,

276(2002), 598–610.

2003

171. Li Ta-tsien, Peng Yue-jun, The mixed initial-boundary value problem for reducible

quasilinear hyperbolic systems with linearly degenerate characteristics, Nonlinear

Analysis, 52(2003), 573–583.

172. Li Tatisen and Peng Yuejun, Global C1 solution to the initial-boundary value

problem for diagonal hyperbolic systems with linearly degenerate characteristics,

Journal of Partial Defferential Equations, 16(2003), 8-17.

173. Li Tatsien, Rao Bopeng, Some results on the exact boundary controllability for

quasilinear hyperbolic systems, Recent Development in Theories & Numerics, In-

ternatioal Conference on Inverse Problems, Edited by Yiu-Chung Hon et al.,

World Scientific, 2003, 443–451.

174. Li Tatsien, Liu Fagui, Singularity caused by eigenvectors for quasilinear hyperbolic

systems, Communications Partial Differential Equations, 28(2003), 477–503.

175. Li Tatsien, Rao Bopeng, Exact boundary controllability for quasilinear hyperbolic

systems, SIAM J., Control Optim., 41(2003), 1748–1755.

176. Li Tatsien, Xu Yulan, Local exact boundary controllability for nonlinear vibrating

string equations, International Journal of Modern Physics B, 17(2003), 4062–4071.

177. Li Tatsien, Yu Lixin, Controlabilite exacte forontiere pour les equations des ondes

quasi lineaires unidimensionnelles, C. R. Acad. Sci. Paried, Serie I 337(2003),

271–276.

178. Li Tatsien, Yu Lixin, Exact controllability for first order quasilinear hyperbolic

systems with zero eigenvalues, Chin. Ann. Math., 24B(2003). 415–422.

179 Li Tatsien, Peng Yuejun, Cauchy problem for weakly linearly degenerate hyperbolic

systems in diagonal form, Nonlinear Analysis, 55(2003), 937–949.

2004

180. Li Tatsien, Exact controllability for quasilinear hyperbolic systems and its appli-

cation to unsteady flows in a network of open canals, Mathematical Methods in

the Applied Sciences, 27(2004), 1089–1114.

18

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181. Li Tatsien, Wang Libin, Global existence of classical solitions to the Cauchy prob-

lem on a semi-bounded initial axis for quasilinear hyperbolic systems, Nonlinear

Analysis, 56(2004), 961–974.

182. Li Tatsien, Wang Libin, Global existence of piecewise C1 solutions to the gen-

eralized Riemann problem, Journal of Hyperbolic Differential Equations 1(2004),

329–350.

183. Li Tasien, Exact boundary controllability for 1-D quasilinear wave equations,

GAKUTO International Series, Mathematical Sciences and Applications, Vol.

20(2004), Proceedings of International Conference on Nonlinear Partial Differen-

tial Equations and Their Applications, pp. 333–339.

184. Li Tatsien, Wang Libin, Global existence of weakly discontinuous solutions to the

Cauchy problem with a kind of non-smooth initial data for quasilinear hyperbolic

systems, Chin. Ann. Math., 25B(2004), 319–334.

185. Li Tatsien, Rao Bopeng, Controlabilite exacte frontiere de l’ecoulement d’un

fluide non-stationnaire dans un reseau du type d’arbre de canaux ouverts, C. R.

Acad. Sci. Paris, Ser. I 339(2004), 867–872.

186. Li Tatsien, Exact boundary controllability of unsteady flows in a network of open

canals, Differential Equations & Asymptotic Theory in Mathematical Physics,

Chen Hua & Roderick Wong (Eds.), Series in Analysis, Vol. 2, World Scientific,

2004, 310–329.

187 Li Tatsien, Rao Bopeng, Exact boundary controllability of unsteady flows in a

tree-like network of open canals, Method and Applications of Analysis, 11(2004),

353–366.

2005

188. Li Tatsien, Exact boundary controllability of unsteady flows in a network of open

canals, Math. Nachr., 278(2005), 278–289.

189. Li Tatsien, Wang Libin, Global classical solutions to a kind of mixed initial-

boundary value problem for quasilinear hyperbolic systems, Discrete and continu-

ous Dynamical Systems, 12(2005), 59–78.

190. Li Tatsien, Exact shock reconstruction, Inverse Problems, 21(2005), 673–684.

191. Li Tatsien, Exact boundary controllability for quasilinear wave equations, Progress

in Nonlinear Differential Equations and Their Applications, Vol. 65, 149–160,

2005 Birkhauser Verlag Basel/Switzerland.

19

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192. Li Tatsien, Exact boundary controllability for quasilinear wave equations (systems)

(in Chinese), Applied Mathematics, A Journal of Chinese Universities, 20A (2005),

127–146.

2006

193 Li Tatsien Wang Libin, Blow up mechanism of classical solutions to quasilinear

hyperbolic systems in the critical case, Chin. Ann. Math., 27B(2006), 53–66.

194 Li Tatsien, Exact boundary controllability for quasilinear wave equations, Journal

of Computational and Applied Mathematics, 190(2006), 127–135.

195 Li Tatsien, Complete reducibility for quaslinear hyperbolic systems, Journal of

Partial Differential Equations, 19(2006), 10–15.

2007

200. Li Tatsien, Wang Libin, Inverse piston problem for the system of one-dimensional

isentropic flow, Chinese Annals of Mathematics, 28B(2007), 265–282.

201. Li Tatsien, Wang Libin, Existence and uniqueness of global solution to an inverse

piston problem, Inverse Problems, 23(2007), 683–694.

202. Li Tatsien, Wang Zhiqiang, A note on the exact controllability for nonautonomous

hyperbolis systems, Commun. Prue Appl. Anal., 6(2007), 229–235.

203. Li Tatsien, Wang Zhiqiang, Global exact boundary controllability for first order

quasilinear hyperbolic systems of diagonal form, Int. J. Dynamical Systems and

Differential Equations, 1(2007), 12–19.

2008

204. Li Tatsien, Peng Yuejun, Yang Young, Zhou Yi, Mechanism of the formation

of singularities for quasilinear hyperbolic systems with linearly degenerate char-

acteristic fields, Math. Meta. Appl. Sci., 31(2008), 193–227.

205. Tatsien Li, Exact boundary observability for quasilinear hyperbolic systems,

ESAIM: Control, Optimization and Calculus of Variations, 14(2008), 759–766.

DOI: 10.1051/COCV:2008007

206. Tatsien Li, Bopeng Rao, Zhiqiang Wang, Controlabilite et observabilite uni-

laterales de systemes hyperboliques quasi-lineaires, C. R. Acad. Sci. Paris, Ser.

I, 346(2008), 1067-1072.

20

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207. Tatsien Li, Bopeng Rao, Zhiqiang Wang, A note on the one-side exact boundary

observability for quasilinear hyperbolic systems, Georgian Mathematical Journal,

15(2008), 571–580.

2009

208. Tatsien Li, Bopeng Rao, Zhiqiang Wang, A note on the one-side exact boundary

controllability for quasilinear hyperbolic systems, Commun. Pure Appl. Anal.,

8(2009), 405–418.

209. Qilong Gu, Tatsien Li, Ecaxt boundary observability of unsteady flows in a tree-

like network of open canals, Math. Mech. Appl. Sci., 32(2009), 395–418.

210. Tatsien Li, Mechanism of the formation of singularities for quasilinear hyperbolic

systems, International Journal of Numerical Analysis and Modeling, 6(2009), 520–

531.

211. Tatsien Li, Controllability and observability: From ODEs to quasilinear hyper-

bolic systems, 6th International Congress on Industrial and Applied Mathematics

(ICIAM 07), Zurich, Switzerland, 16–20 July 2007, Invited Lectures (Editors:

Rolf Jeltsch, Gerhard Wanner), European Mathematical Society, 2009, 251–278.

212. Ta-Tsien Li, Yue-Jun Peng, Jeremy Ruiz, Entropy solutions for linearly degen-

erate hyperbolic systems of rich type, J. Math. Pures Appl., 91(2009), 553–568.

213. Tatsien Li, Bopeng Rao, Exact controllability for first order quasilinear hyperbolic

systems with vertical characteristics, Acta Mathematica Scientia, 29B(2009), 980–

990.

214. Tatsien Li, Global inverse piston problem in gas dynamics, Chapter 5 in Advances

in Nonlinear Analysis: Theory, Methods and Applications (edited by Seenith

Sivasundaram, J. Vasundhara Devi, Zahia Drici, Farzana Mcrae), Mathematical

Problems in Engineering, Aerospace and Sciences (edited by S. Sivasundaram),

Cambridge Scientific Publishers, 2009, 47–61.

215. Qilong Gu, Tatsien Li, Exact boundary controllability for quasilinear wave equa-

tions in a planar tree-like network of strings, Ann. Inst. H. Poincare, Anal. Non

Lineaire, 26(2009), 2373–2384.

216 Tatsien Li, Jiangong You, Dynamical systems— from finite dimension to infinite

demension(in Chinese), Some Important Problems in Nonlinear Sciences (edited

by Yisui Sun), University of Science and Technology of China Press, 2009, 243–

268.

21

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2010

217. Tatsien Li, Bopeng Rao, Zhiqiang Wang, Exact boundary controllability and

observability for first order quasilinear hyperbolic systems with a kind of nonlocal

boundary conditions, DCDS-A, 28(2010), 243–257.

218. Tatsien Li, Global exact boundary controllability for first order quasilinear hyper-

bolic systems, DCDS-B, 14(2010), 1419–1432.

219. Tatsien Li, Bopeng Rao, Exact controllability and exact observability for quasi-

linear hyperbolic systems: Known results and open problems, Some Problems on

Nonlinear Hyperbolic Equation and applications, Edited by Tatsien Li, Yuejun

Peng and Bopeng Rao, Series in Contemporary Applied Mathematics (CAM) 15,

Higher Education Press & World Scientific, 2010, 373–385.

220. Tatsien Li, Bopeng Rao, Strong (weak) exact controllability and strong (weak) ex-

act observability for quasilinear hyperbolic systems. Chin. Ann. Math., 31B(2010),

723–742.

221. Tatsien Li, Exact boundary controllability of nodal profile for quasilinear hyper-

bolic systems, Math. Meth. Appl. Sci., 33(2010), 2101–2106.

2011

222. Qilong Gu, Tatsien Li, Exact boundary observability for quasilinear wave equa-

tions in a planar tree-like network of strings, J. Math. Pures Appl., 95(2011),

1–17.

223. Tatsien Li, A constructive method to controllability and observability for quasilin-

ear hyperbolic systems, Methods and Applications of Analysis , 18(2011), 69–84.

2243. Tatsien Li, Bopeng Rao, Asymptotic controllability for linear hyperbolic systems,

Asymptotic Analysis, 72(2011), 169–187.

225. Qilong Gu, Tatsien Li, Exact boundary controllability of nodal profile for quasilin-

ear hyperbolic systems in a tree-like network, Math. Meth. Appl. Sci., 34(2011),

911–928.

226. Tatsien Li, Bopeng Rao, Controlabilite asymptotique de systemes hyperboliques

lineaires, C. R. Acad. Sci. Paris, Ser. I, 349(2011),663–668.

227. Qilong Gu, Tatsien Li, Exact boundary controllability for quasilinear hyperbolic

systems on a tree-like network and its applications. SIAM J. Control Optim.,

49(2011), 1404–1421.

22

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2012

228. Tatsien Li, Bopeng Rao, Synchronisation exacte d’un systeme couple d’equations

des ondes par des controles frontieres de Dirichlet, C. R. Acad. Sci. Paris,

350(2012), 767–772.

229. Tatsien Li et al., Mathematical Modeling and numerical method for the spon-

taneous potential well-logging(in Chinese), Well Logging Technology, 36(2012),

211–224.

2013

230. Qilong Gu, Tatsien Li, Exact boundary controllability of nodal profile for unsteady

flows on a tree-like network of open canals, J. Math. Pures Appl., 99(2013), 86–

105. DOI information: 10.1016/j.matpur.2012.06.004

231. Tatsien Li, Bopeng Rao, Exact synchronization for a coupled system of wave

equations with Dirichlet boundary controls, Chin. Ann. Math., 34B(2013), 139–

160.

232. Doina Cioranescu, Alain Damlamian, Tatsien Li, Periodic homogenization for

inner boudary conditions with equi-valued surface: the unfolding approach, Chin.

Ann. Math., 34B(2013), 213–236.

233. Tatsien Li, Personal understanding about the study on partial differential equa-

tions, Academia des Ciencias de Lisboa, Classe de Ciencias.

234 Tatsien Li, Bopeng Rao, Hu Long, Exact boundary synchronization for a coupled

system of 1-D wave equations , To appear in ESAIM: COCV.

234 Hu Long, Tatsien Li, Bopeng Rao, Exact boundary synchronization for a coupled

system of 1-D wave equations with coupled boundary controls of dissipative type,

To appear.

234 Tatsien Li, Bopeng Rao, Wei Yimin, Generalized exact boundary synchronization

for a coupled system of wave equations , To appear.

234 Tatsien Li, Bopeng Rao, A Note on the exactsynchronization by groups for a

coupled system of wave equations , To appear.

23