POINTWISE BOUNDS IN PARABOLIC AND ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

Abstract

A method is presented for obtaining explicit upper and lower pointwise bounds for the solution of rather general interior boundary value problems. The differential equations associated with these problems are of the elliptic type in certain sections while both linear and non-linear parabolic equations are the subject of investigation in other sections. The bounds which are obtained are in terms of the integrals of the squares of known functions and hence, in the linear case, improvement is possible using the Rayleigh-Ritz technique. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1961
Accession Number
AD0256984

Entities

People

  • Fred J. Jr. Bellar

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Integrals
  • Mathematical Analysis
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Linear Algebra