Partial Differential Equations and Related Topics

List of participants....Pages 1-2
Preface....Pages 3-4
Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation....Pages 5-49
A new method in the study of subsonic flows....Pages 50-64
Interpolation classes for monotone operators....Pages 65-74
Singular nonlinear integral equations of Hammerstein type....Pages 75-95
The lefschetz fixed point theorem and asymptotic fixed point theorems....Pages 96-122
 L p decay rates, p bit (≤∞), and energy decay in nonbicharacteristic cones for first order hyperbolic systems....Pages 123-143
The dirichlet problem for nonlinear elliptic equations: A hilbert space approach....Pages 144-165
Exact controllability of linear systems in infinite dimensional spaces....Pages 166-183
On the statistical study of the Navier-Stokes equations....Pages 184-197
Asymptotic behavior of solutions to the quasilinear wave equation....Pages 198-246
Inverse problems for nonlinear random systems....Pages 247-263
The method of transmutations....Pages 264-282
Stochastic solutions of hyperbolic equations....Pages 283-300
Remarks on some new nonlinear boundary value problems....Pages 301-328
Semilinear wave equations....Pages 329-354
Lecture #1. Five problems: An introduction to the qualitative theory of partial differential equations....Pages 355-369
Lecture #2. The mathematical theory of crushed ice....Pages 370-379
Lecture #3. Scattering by many tiny obstacles....Pages 380-389