BOUNDS FOR DERIVATIVES IN THE DIRICHLET PROBLEM FOR POISSON'S EQUATION

Abstract

INEQUALITIES ARE DERIVED WHICH LEAD TO POINTWISE BOUNDS FOR DERIVATIVES OF THE SOLUTION OF THE Dirichlet problem for the Poisson equation. We obtain at interior points bounds for first and second derivatives which involve the undifferentiated data providing the boundary data are square integrable and the Laplacian of the function is Holder continuous in D. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1961
Accession Number
AD0258908

Entities

People

  • J.h. Bramble
  • L.e. Payne

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Differential Equations
  • Equations
  • Inequalities
  • Mathematics
  • Poisson Equation

Fields of Study

  • Mathematics

Readers

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