Accession Number : AD0630046

Title :   POINTWISE BOUNDS FOR SOLUTIONS OF THE SECOND INITIAL-BOUNDARY VALUE PROBLEM FOR PARABOLIC EQUATIONS.

Descriptive Note : Technical memo.,

Corporate Author : JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB

Personal Author(s) : Sigillito,V. G.

Report Date : NOV 1965

Pagination or Media Count : 21

Abstract : An extension is given of the method to obtain pointwise bounds for the solutions of the first initial-boundary value problem for a semilinear parabolic equation. A method is given for obtaining interior pointwise bounds for solutions of the second initial-boundary value problem. The bounds obtained are in terms of L(2) integrals of the initial-boundary data; thus close bounds may be obtained, in the linear case, by applying the Rayleigh-Ritz Technique. The approximating functions used in the procedure need not satisfy either the differential equation or the initial-boundary data but only certain regularity conditions. (Author)

Descriptors :   (*BOUNDARY VALUE PROBLEMS, PARTIAL), (*PARTIAL DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS), OPERATORS(MATHEMATICS), INEQUALITIES, FUNCTIONAL ANALYSIS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE