Variational Methods and Monotonicity.

Abstract

Nonlinear equations and variational inequalities in reflexive Banach spaces are considered using the concept of pseudomonotone operators of H. Brezis. The existence theory is based on finite dimensional approximations (solved by using Brouwer fixed point theorem) and a limiting procedure requiring weak continuity properties. Some continuous dependence properties are given and applied to the penalization method. Then some examples are studied (corresponding to heat diffusion). Finally some results on Hammerstein equations are derived.

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1975
Accession Number
ADA018003

Entities

People

  • L. Tartar

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Boundary Value Problems
  • Continuity
  • Differential Equations
  • Diffusion
  • Equations
  • Inequalities
  • Mathematical Analysis
  • Mathematics
  • Point Theorem
  • Real Variables
  • Variational Methods

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space