A Nonlinear Volterra Equation in Variable Domain.

Abstract

We prove the existence and uniqueness of a strong solution of a nonlinear heat flow equation governing the temperature in a homogeneous material with memory when the temperature outside of a smooth time dependent domain Omega(t) is prescribed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1979
Accession Number
ADA083829

Entities

People

  • Alain Damlamian
  • Hedy Attouch

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Continents
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Heat Balance
  • Heat Energy
  • Heat Transmission
  • Hilbert Space
  • Mathematics
  • Nonlinear Analysis
  • North Carolina
  • Partial Differential Equations
  • Time Dependence
  • United States
  • Volterra Equations
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)