
Accession Number : AD0283305
Title : POINTWISE BOUNDS FOR SOLUTIONS OF THE CAUCHY PROBLEM FOR ELLIPTIC EQUATIONS
Descriptive Note : Doctoral thesis
Corporate Author : NAVAL ORDNANCE LAB WHITE OAK MD
Personal Author(s) : TRYTTEN,GEORGE N.
Report Date : 04 JUN 1962
Pagination or Media Count : 72
Abstract : An analysis is presented which deals with a technique for approximating the solution to a Cauchy problem for a geneal secondorder elliptic patil differential equation defined in an Ndimensional region D. The method is based upon the determination of an a priori bound for the value of an arbitrary function u at a point P in D in terms of the values of u and its gradient on the cauchy surface andA FUNCTIONAL OF THE ELLIPTIC OPERATOR APPLIED TO U. (Author)
Descriptors : *CONVEX SETS, *FUNCTIONS(MATHEMATICS), *OPERATORS (MATHEMATICS), *PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENTIAL EQUATIONS, GEOMETRY, GREEN'S FUNCTION, INEQUALITIES, MATRICES(MATHEMATICS), NUMBERS
Distribution Statement : APPROVED FOR PUBLIC RELEASE