On the Local Behaviour of Solutions of Degenerate Parabolic Equations with Measurable Coefficients.

Abstract

Locally bounded weak solutions of degenerate parabolic equations are proven to be locally hoelder continuous. Hoelder estimates are also derived up to the boundary for both Dirichlet data and (non-linear) variational data. Via a counterexample it is shown that non-negative solutions, in general, do not satisfy the parabolic version of the Harnack inequality.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1984
Accession Number
ADA147412

Entities

People

  • E. Dibenedetto

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Differential Equations
  • Diffusion
  • Embedding
  • Equations
  • Formulas (Mathematics)
  • Inequalities
  • Integrals
  • Mathematics
  • North Carolina
  • Numbers
  • Oscillation
  • Partial Differential Equations
  • Theorems
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

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