Language: English
Published on: 1982-01
Hardcover
The Beijing Symposium on Differential Geometry and Differential Equations was held from August 18 to September 21, 1980. It was jointly sponsored by the Academy of Sciences of PRC and the Committee on Scholarly Communications with PRC of USA. Those participated in the Symposium were mathematicians from China, USA, Britain, France, West Germany, Sweden, Japan, Canada, Brazil, Italy, etc.
The 100 reports were read at the symposium, 74 from China and 26 from other countries, 80 of which are compiled in the present proceedings with about 1800 pages. Volumes I and II consist of comprehensive reports, Volume III comprises special reports. Included in these proceedings are many of the latest results of researches and new conceptions and methods of well-known mathematicians. Their publication in the mathematical and education circles in various countries.
CONTENTS
VOL. ONE
1. Gauge theory and algebraic geometry
2. Some geometric tools for studying Riemannian manifolds
3. An introduction to minimal currents and parametric variational problems
4. Lectures on Morse theory, old and new
5. Nonlinear elliptic and parabolic problems
6. Exterior differential systems
7. The real Monge-Ampere equation and affine flat structures
8. Hyperbolic boundary problems
9. Some problems on nonlinear hyperbolic systems
10. Nonlinear elliptic systems and harmonic mappings
11. Appendix List of Lectures and Papers Present at the
VOL.TWO
12. Geometrical theory of partial differential equations
13. Several complex variables form the point of view of linear partial differential equations
14. Singular perturbation of partial differential equations of mathematical physics
15. The zero dispersion limit for the Korteweg-de Vries(KdV) equation
16. Topological, variational and analytic methods in
17. A survey on holomorphic G-structures
18. The maximum principle and eigenvalue problems
19. *Mathematical problems associated with quantum field theory, especially quantum chromodynamics
20. Lectures on linear PDES
21. The Bochner technique
22. Mechanical theorem proving in elementary geometry and differential geometry
23. Appendix List of Lectures and Papers Present at the
VOLUME THREE
24. The cone remove by drainage from the same well - A free boundary problem
25. On the asymptotic trace of the second order self-adjoint elliptic operator
26. Morse theory and the partial differential equation
27. The initial-boundary value problems for the quasilinear symmetric hyperbolic system and their applications in gas dynamms
28. Some integral fornmlas on submanifolds in Euclidean space
29. An elementary proof of Calabi's theorems on holomorphic curves
30. On a class of singular pseudo-differential operators
31. On stability of motion defined by partial differential equations
32. Spaces of differentiable functions and calculus variations with strong nonlinearity
33. Special spaces and error estimations
34. A remark on integral of Cauchy type in several complex variables
35. Zero sets and extension theorems for the Hp and Nevanlinna classes on the unit ball and polydisc in Cn
36. The asymptotic behavior of the solution of the multiphase Stefan problem
37. A note on the system of second order elliptic equation with constant coefficients
38. The global solution for some systems of nonlinear Schrodinger equation,'
39. On boundary value problems for mixed equations characteristic degenerate surfaces
40. On the massive Yang-Mills equations
41. Tricmi's problems of non-homogeneous equation of mixed type in real projective plane
42. Remarks on quasilinear degenerate elliptic equations
43. Qualitative theory of solutions of a conservation law
44. Global solutions of a class of quasilinear hyperbolic systems
45. The generalized solution and boundary value problem for a system of second order elliptic equations in plane
46. The structure equation of Lie group and some evolution equations
47. Existence of global solutions to hyperbolic conservation laws
48. On the Schwarz lemma of higher order
49. Local geometry of nondegenerate Cauchy-Riemann manifolds
50. Certain mathematical problems on static models in general relativity
51. The semi-linear diffusion equations with right-hand side containing Dirac’s measure and a Telated optimal control problem
52. Stable complete minimal hypersurfaces
53. On the sourceless SU(N) gauge field over the fourdimensional
54. self-dual compact Riemannian manifold with positive
55. A class of pseudo-differential operators with irregular singularity
56. The generalized support function and its applications
57. Convexity in Riemannian geometry
58. On the Sourceless SU(N) gauge field over the fourdimensional self-dual compact Riemannian manifold with positive scalar curvature
59. On the Dirichlet problem for quasilinear elliptic equation with strongly singular coefficients
60. Orthogonal pieces of totally umbilical hypersurfaces in a space of constant curvature
61. Uniform estimates for the ?5-equation on balls
62. The problems of the rigidity of the surfaces with mixed Gauss curvature and the boundary value problems for the equations of mixed type
63. On the total curvature of submanifolds
64. Conservation laws and symmetries of nonlinear evolution equations
65. On a problem of Tu concerning divisivility of polynomials
66. The discrete phenomena for the mixed problem
67. Particular phenomena in the equations of non-principal type
68. Isoparametric hypersufaces in comples projective spaces
69. Another construction of Maslov-Arnold index
70. The mixed boundary value problem for nonlinear elliptic equations of second order in the plane
71. Uniqueness of the weak solution of quasilinear degenerate parabolic equations
72. Generalization of Cartan's lemma
73. On Dirichlet problem of uniformly degenerate quasilinear elliptic equations
74. Some results on quailinear degenerate parabolic equations of second order
75. On stable harmonic maps and their application
76. Some results on the classification of homogeneous
77. Uniformity of strong and weak solutions and their
78. Applications of representation theory of Lie groups differential geometry
79. Initial value problem and nonlinear intial-boundary value problems for a class of quasilinear second order parabolic systems
80. The parabolicity of an equation with double characteristics
81. Some results on the non-symmetric Siegel domains and the explicit solutions of some partial differential equations
82. Some results about discontinuous solutions of quasilinear hyperbolic systems
83. A note on Schubert calculus
84. Singular integral equations with Bochner-Martim kernel on smooth orientable manifolds
85. Initial value problems for the semilinear systems of generalized Schroedinger type of higher order
86. An accurate numerical method of solving nonlinear hyperbolic systems
87. APPENDIX List of Lectures and Papers Presented at the
