Accession Number:

ADA125245

Title:

Linear Parabolic Equations with a Singular Lower Order Coefficient.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1982-11-01

Pagination or Media Count:

34.0

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.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE