Accession Number:

ADA199810

Title:

Some Problems in Nonlinear Analysis

Descriptive Note:

Annual technical rept. 1 Jun 1987-31 May 1988

Corporate Author:

WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES

Personal Author(s):

Report Date:

1988-05-31

Pagination or Media Count:

9.0

Abstract:

M. G. Crandall has been working on several problems existence questions for abstract evolution equations, existence and uniqueness for certain classes of parabolic, Hamilton-Jacobi, and degenerate elliptic equations, and questions related to the control of partial differential equations. P. H. Rabinowitz has been studying the existence of periodic and connecting orbits for certain nonlinear pendulum type equations. He has obtained the existence of periodic and subharmonic solutions for families of singular Hamiltonian systems. A post-doctoral fellow, S. Angenent has developed a new approach to a class of maps of interest in the study of dynamical systems. He is also working on nonlinear parabolic equations such as arise in modelling the melting of solids and on problems in population dynamics. Four predoctoral students are treating problems on periodic solutions of finite and infinite dimensional Hamiltonian systems, on variational methods to treat ordinary and partial differential equations, and on the relationship between differential games and viscosity solutions of the Hamilton-Jacobi equation.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE