The Cauchy Problem for Ut = Delta u(m) When 0 < m < 1.

Abstract

This paper deals with the Cauchy problem for the nonlinear diffusion equation (fast diffusion case). We prove that there exists a global time solution for any locally integrable function u sub o: hence, no growth condition at infinity for u sub o is required. Moreover the solution is shown to be unique in that class. Keywords; Cauchy problem, nonlinear diffusion, initial-value problem, regularizing effects.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1985
Accession Number
ADA153521

Entities

People

  • M. A. Herrero
  • M. Pierre

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Cauchy Problem
  • Classification
  • Differential Equations
  • Diffusion
  • Equations
  • Inequalities
  • Mathematics
  • Military Research
  • North Carolina
  • Partial Differential Equations
  • Security
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis