Accession Number : AD0468848

Title :   POINTWISE BOUNDS IN THE CAUCHY PROBLEM FOR ELLIPTIC SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS,

Corporate Author : NAVAL ORDNANCE LAB WHITE OAK MD

Personal Author(s) : Conlan, J. ; Trytten, G.

Report Date : JUL 1965

Pagination or Media Count : 23

Abstract : This report developes a technique for approximating the solution to a Cauchy problem for a class of second order elliptic partial differential equations in N independent variables. The method is based upon the determination of an a priori bound for an arbitrary u(alpha) at a point P in terms of the values of the u(alpha) and their gradients on the Cauchy surface, and of a functional of the elliptic operator applied to the u(alpha). (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS), INEQUALITIES, THEORY.

Distribution Statement : APPROVED FOR PUBLIC RELEASE