Partial Differential Equations and Related Topics: Ford Foundation Sponsored Program at Tulane University, January to May, 1974

Prof. Jerome A. Goldstein (eds.)9780387071480, 0-387-07148-2

Table of contents :
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