
Accession Number : AD0630046
Title : POINTWISE BOUNDS FOR SOLUTIONS OF THE SECOND INITIALBOUNDARY 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 initialboundary value problem for a semilinear parabolic equation. A method is given for obtaining interior pointwise bounds for solutions of the second initialboundary value problem. The bounds obtained are in terms of L(2) integrals of the initialboundary data; thus close bounds may be obtained, in the linear case, by applying the RayleighRitz Technique. The approximating functions used in the procedure need not satisfy either the differential equation or the initialboundary 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