Description
This volume forms a record of the lectures given at this International Conference. Under the general heading of the equations of mathematical physics, contributions are included on a broad range of topics in the theory and applications of ordinary and partial differential equations, including both linear and non-linear equations. The topics cover a wide variety of methods (spectral, theoretical, variational, topological, semi-group), and a equally wide variety of equations including the Laplace equation, Navier-Stokes equations, Boltzmann's equation, reaction-diffusion equations, Schroedinger equations and certain non-linear wave equations. A number of papers are devoted to multi-particle scattering theory, and to inverse theory. In addition, many of the plenary lectures contain a significant amount of survey material on a wide variety of these topics.
Chapter
Chapter 3. Classification of Initial Data for the Porous Medium Equation in RN
pp.：
40 – 46
Chapter 4. Stability of Quantum Mechanical Shape Resonances via Riccati's Equation
pp.：
46 – 52
Chapter 5. Remarks on the Inverse Square Potential in Quantum Mechanics
pp.：
52 – 58
Chapter 6. Julia Sets and Autonomous Differential Equations
pp.：
58 – 64
Chapter 7. A Limiting Absorption Principle for a Sum of Tensor Products
pp.：
64 – 70
Chapter 8. An Algebraic Generalization of Stochastic Integration
pp.：
70 – 74
Chapter 9. Variational Problems involving Lack of Compactness and Rellich's Conjecture
pp.：
74 – 82
Chapter 10. A Factorization Method for Symmetric Differential Operators and its Applications to Dirichlet Inequalities and to the Dirichlet Index
pp.：
82 – 92
Chapter 11. Solutions with Asymptotic Conditions of a Nonlinear Boundary Value Problem
pp.：
92 – 98
Chapter 12. Absolute Continuous Spectrum of One-Dimensional Schrödinger Operators
pp.：
98 – 108
Chapter 13. Some Topics in Transmutation
pp.：
108 – 126
Chapter 14. An Equation Modeling the Electric Ballast Resistor
pp.：
126 – 132
Chapter 15. Nonexistence of Positive Solutions for Singular Hyperbolic Differential Inequalities
pp.：
132 – 136
Chapter 16. Almost Periodicity of Bounded Solutions to Nonlinear Abstract Equations
pp.：
136 – 144
Chapter 17. A Priori Estimates in Nonlinear Eigenvalue Problems for Elliptic Systems
pp.：
144 – 152
Chapter 18. Developments in the Theory of Nonlinear First-Order Partial Differential Equations
pp.：
152 – 164
Chapter 19. Relativistic Molecules with Coulomb Interaction
pp.：
164 – 170
Chapter 20. Non-Linear Delay Differential Equations and Function Algebras
pp.：
170 – 176
Chapter 21. Transformations of Differential Equations, the Levinson Asymptotic Theorem and Deficiency Indices
pp.：
176 – 186
Chapter 22. A Morse Theorem for Hamiltonian Systems
pp.：
186 – 194
Chapter 23. Scattering and Spectral Theory for Three Particle Systems
pp.：
194 – 226
Chapter 24. A Left Definite Two-Parameter Eigenvalue Problem
pp.：
226 – 234
Chapter 25. A Semigroup Approach to Burgers' System
pp.：
234 – 240
Chapter 26. On the Eigenvalues of Non-Definite Elliptic Operators
pp.：
240 – 250
Chapter 27. Existence of Generators and Differentiability of Evolutions
pp.：
250 – 258
Chapter 28. On the Asymptotic Behavior of the Positive Solutions of a Differential Equation with a Discontinuous Nonlinear Term
pp.：
258 – 262
Chapter 29. Energy Estimates for Symmetric Hyperbolic Integro-Differential Equations
pp.：
262 – 270
Chapter 30. Resolvent and Heat Kernels for Operators of Schrödinger Type with Applications to Spectral Theory
pp.：
270 – 278
Chapter 31. Vorticity, Incompressibility, and Boundary Conditions in the Numerical Solution of the Navier-Stokes Equations
pp.：
278 – 286
Chapter 32. Asymptotic Completeness for Few Body Schrödinger Operators
pp.：
286 – 292
Chapter 33. Asymptotics of the Titchmarsh-Weyl m-Function, a Bessel-Approximative Case
pp.：
292 – 300
Chapter 34. Lattice Multiscale Singular Perturbation Theory
pp.：
300 – 306
Chapter 35. Solutions for Model Boltzmann Equations proposed by Ziff
pp.：
306 – 314
Chapter 36. Asymptotic Behavior of Solutions of Disconjugate Differential Equations
pp.：
314 – 322
Chapter 37. Boundary Conditions for Differential Systems in Intermediate Limit Situations
pp.：
322 – 328
Chapter 38. On the Spectrum of a Hamiltonian System with Two Singular Endpoints
pp.：
328 – 334
Chapter 39. A Product Formula for Certain Quadratic Form Perturbations
pp.：
334 – 342
Chapter 40. On the Existence of Resonant States
pp.：
342 – 348
Chapter 41. Asymptotic Behavior of the Scattering Amplitude at High Energies
pp.：
348 – 356
Chapter 42. Full- and Half-Range Theory of an Indefinite Sturm - Liouville Problem
pp.：
356 – 362
Chapter 43. Remarks on Holomorphic Families of Schrödinger and Dirac Operators
pp.：
362 – 374
Chapter 44. Necessary and Sufficient Conditions for Solvability of Non-Solvable Linear Partial Differential Equations
pp.：
374 – 380
Chapter 45. Regularity Properties of Schrödinger Operators on Domains of Rn
pp.：
380 – 388
Chapter 46. Relative Symmetries of Differential Equations
pp.：
388 – 394
Chapter 47. Necessary and Sufficient Conditions for Oscillations of Higher Order Delay Differential Equations
pp.：
394 – 402
Chapter 48. Boundary Behavior of Solutions of Degenerate Elliptic Equations and Generation of Semigroups
pp.：
402 – 408
Chapter 49. The Zero Dispersion Limit of the KdV Equation
pp.：
408 – 412
Chapter 50. Recent Multiplicity Results for Nonlinear Boundary Value Problems
pp.：
412 – 418
Chapter 51. Nonstopping Iteration for Ordinary Differential Operator Equation
pp.：
418 – 424
Chapter 52. Some Vector Field Equations
pp.：
424 – 434
Chapter 53. Weight Distributions and Moments for a Certain Class of Orthogonal Polynomials
pp.：
434 – 442
Chapter 54. On the Limit-PointClassification of a Class of Non-Self-Adjoint Ordinary Differential Operators
pp.：
442 – 448
Chapter 55. A Moving Boundary Problem describing Oxygen Consumption in Soil
pp.：
448 – 452
Chapter 56. Converse BVP for Associated Elliptic and Parabolic Fractional Partial Differential Operators
pp.：
452 – 458
Chapter 57. Bounds for Constructed Solutions of Second and Fourth Order Inverse Eigenvalue Problems
pp.：
458 – 466
Chapter 58. Difference Equation Models of Differential Equations having Zero Local Truncation Errors
pp.：
466 – 472
Chapter 59. A Remark on Continuum Eigenfunctions of N-Body Schrödinger Operators
pp.：
472 – 476
Chapter 60. A Curious Singular Perturbation Problem
pp.：
476 – 486
Chapter 61. A Simplified Characterization of the Boundary Conditions which determine J-Selfad joint Extensions of J-Symmetric (Differential) Operators
pp.：
486 – 492
Chapter 62. Essential Self-Adjointness for Powers of Schrödinger Operators
pp.：
492 – 498
Chapter 63. Geometry and Discrete Velocity Approximations to the Boltzmann Equation
pp.：
498 – 506
Chapter 64. Domains in Hyperbolic Space and Limit Sets of Kleinian Groups
pp.：
506 – 522
Chapter 65. Selfadjoint Operators, Spectral and Scattering Theory, Variational Techniques, Non-Linear Phenomena, Linear and Non-Linear Partial Differential Equations, and Related Topics
pp.：
522 – 532
Chapter 66. On Quasiuniqueness
pp.：
532 – 540
Chapter 67. m-Functions and the Absolutely Continuous Spectrum of One Dimensional Almost Periodic Schrödinger Operators
pp.：
540 – 542
Chapter 68. The Complete Solution Space for a System of Reaction-Diffusion Equations
pp.：
542 – 558
Chapter 69. Variational Problems with Singular Solutions
pp.：
558 – 566
Chapter 70. Bifurcation of Subharmonic Solutions : A Generic Approach
pp.：
566 – 574
Chapter 71. A Class of Isoperimetric Variational Problems on Certain Orlicz-Sobolev Spaces
pp.：
574 – 582
Chapter 72. The Relation of Solutions of Different ODEs is a Commutation Relation
pp.：
582 – 592
Chapter 73. Pointwise Initial-Value Problems for Functional Differential Equations
pp.：
592 – 602
Chapter 74. Asymptotics and Spectral Theory for High Order Ordinary Differential Equations with Power Coefficients
pp.：
602 – 610
Chapter 75. Large Time Behaviors of Time-Periodic Quantum Systems
pp.：
610 – 620
Chapter 76. Eigenvalues of the Laplacian: An Extension to Higher Dimensions (II)
pp.：
620 – 628
Author Index
pp.：
628 – 630
Differential Equations
( Volume 92 )
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