Asymptotic Behavior of Some Nonlinear Heat Equations.

Abstract

In this paper a semilinear heat equation with a convex nonlinearity is considered. The asymptotic behavior of the solutions is completely determined and this gives, in particular, a very precise description of the global stability of stationary solutions. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1980
Accession Number
ADA093615

Entities

People

  • Pierre Louis Lions

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Boundaries
  • Convex Sets
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Mathematics
  • Military Research
  • North Carolina
  • Population Genetics
  • Stationary
  • Steady State
  • Theorems
  • Two Dimensional
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis