A Nonlinear Integral Equation Occurring in a Singular Free Boundary Problem

Abstract

One motivation for the study of the Cauchy problem is its similarity with the well-known one phase Stefan problem (in one space dimension). The principal motivation for the study of this problem is that it serves as a prototype of nonlinear parabolic problems which arise as monotone convexifications of nonlinear diffusion equations with nonmonotone constitutive functions phi.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1983
Accession Number
ADA127940

Entities

People

  • John A. Nohel
  • Klaus Hoellig

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Boundaries
  • Cauchy Problem
  • Continuity
  • Contracts
  • Diffusion
  • Discontinuities
  • Equations
  • Integral Equations
  • Integrals
  • Materials
  • Motivation
  • Prototypes
  • Two Dimensional
  • United States

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis

Technology Areas

  • Space