Partial Differential Equations and Related Topics

Inhaltsverzeichnis

• 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.