Structure of the Set of Steady-State Solutions and Asymptotic Behaviour of Semilinear Heat Equations.

Abstract

We give a precise geometrical description of the set of steady-state solutions for general classes of semilinear heat equations. This enables us to prove global results about the asymptotic behaviour of the solutions of the initial value problem.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1981
Accession Number
ADA114624

Entities

People

  • Pierre Louis Lions

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Autonomy
  • C4I

DTIC Thesaurus Topics

  • Algebra
  • Continuity
  • Contracts
  • Differential Equations
  • Eigenvalues
  • Equations
  • Lyapunov Functions
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • North Carolina
  • Real Variables
  • Sequences
  • Steady State
  • Topology
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Computer Vision.
  • Fluid Dynamics.