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 second-order elliptic patil differential equation defined in an N-dimensional 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