Accession Number:

AD0258908

Title:

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

Descriptive Note:

Corporate Author:

MARYLAND UNIV COLLEGE PARK INST FOR FLUID DYNAMICS AND APPLIED MATHEMATICS

Personal Author(s):

Report Date:

1961-05-01

Pagination or Media Count:

1.0

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

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE