Some Problems in Nonlinear Analysis

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.

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Document Details

Document Type
Technical Report
Publication Date
May 31, 1988
Accession Number
ADA199810

Entities

People

  • M. G. Crandall
  • P. H. Rabinowitz

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Abstracts
  • Boundary Value Problems
  • Differential Equations
  • Diffusion Coefficient
  • Dynamic Programming
  • Equations
  • Mathematical Models
  • Models
  • Nonlinear Analysis
  • Partial Differential Equations
  • Pendulums
  • Personal Information Managers
  • Phase Transformations
  • Students
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  • Thermal Conductivity
  • Universities

Fields of Study

  • Mathematics

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  • Calculus or Mathematical Analysis
  • STEM Education

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  • Space