Accession Number:

AD0256984

Title:

POINTWISE BOUNDS IN PARABOLIC AND ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

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:

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

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE