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

ISBN-13: 9783540071488 / Angielski / Miękka / 1975 / 398 str.

J. a. Goldstein

Spis treści

List of participants.- Preface.- Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation.- A new method in the study of subsonic flows.- Interpolation classes for monotone operators.- Singular nonlinear integral equations of Hammerstein type.- The lefschetz fixed point theorem and asymptotic fixed point theorems.- L p decay rates, p bit (??), and energy decay in nonbicharacteristic cones for first order hyperbolic systems.- The dirichlet problem for nonlinear elliptic equations: A hilbert space approach.- Exact controllability of linear systems in infinite dimensional spaces.- On the statistical study of the Navier-Stokes equations.- Asymptotic behavior of solutions to the quasilinear wave equation.- Inverse problems for nonlinear random systems.- The method of transmutations.- Stochastic solutions of hyperbolic equations.- Remarks on some new nonlinear boundary value problems.- Semilinear wave equations.- Lecture #1. Five problems: An introduction to the qualitative theory of partial differential equations.- Lecture #2. The mathematical theory of crushed ice.- Lecture #3. Scattering by many tiny obstacles.