Sobolev-Poincare's Inequality and the Neumann Problem for u sub t = Divergence of the Absolute Value of the Gradient u to the P-2 Power x the Gradient u.

Abstract

An equation is used as a model for a broad class of singular and degenerate parabolic equations. The degenerate type (p > 2) has been treated by many authors, but the behavior of solutions of the singular type (1 < p < 2) is less well understood. In this paper we establish the homogenization effect of the singular problem with Neumann boundary conditions. Keywords include: Quasilinear singular parabolic equation; Neumann problem; Homogenization; Sobolev-Poincate's inequality; Extinction; Boundary valve problem.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1985
Accession Number
ADA154788

Entities

People

  • I. Fukuda

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Contracts
  • Differential Equations
  • Equations
  • Extinction
  • Formulas (Mathematics)
  • Inequalities
  • Mathematics
  • Military Research
  • North Carolina
  • Partial Differential Equations
  • Two Dimensional
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

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