Linear Parabolic Equations with a Singular Lower Order Coefficient.

Abstract

This report was motivated by the study of free boundary value problems related to the Stefan problem. The precise description of the smoothness of the free boundary requires sharp regularity results for linear parabolic equations with singular coefficients. These results are of independent interest. They can be applied to parabolic equations on domains with curved boundaries that tough the x-axis. As a particular example consider the heat equation; this example arises in the convexity of the nonlinear parabolic problem.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1982
Accession Number
ADA125245

Entities

People

  • Klaus Hoellig

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Boundary Value Problems
  • Cauchy Problem
  • Classification
  • Coefficients
  • Contracts
  • Differential Equations
  • Equations
  • Inequalities
  • Integrals
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • North Carolina
  • United States

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.