BOUNDS FOR SOLUTIONS OF SECOND ORDER ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

Abstract

Pointwise a priori bounds are obtained for the solution of the Dirichlet problem associated with a rather general second order elliptic differential operator. These bounds involve only integrals of the data itself and not if its derivatives. Furthermore, the bounds obtained are applicable at any point in the domain of definition (i.e. up to the boundary of the region). (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1961
Accession Number
AD0256019

Entities

People

  • J.h. Bramble
  • L.e. Payne

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Differential Equations
  • Equations
  • Integrals
  • Mathematics
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

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