Accession Number : AD0748310

Title :   Bounds for the Change in the Solutions of Second Order Elliptic Partial Differential Equation's When the Boundary is Perturbed,

Corporate Author : EG AND G INC LAS VEGAS NEV

Personal Author(s) : Blair,J. J.

Report Date : 05 OCT 1971

Pagination or Media Count : 21

Abstract : Let omega be a smooth bounded subset of (R sup N) and L be a uniformly elliptic second order differential operator with smooth coefficients. The author obtains a bound for the difference between the solution, u, to the equation Lu = f in omega with the Dirichlet boundary conditions: u = 0 on boundary omega, and the solution, u prime, to corresponding boundary value problem on a non-smooth domain omega prime which appriximates omega. The magnitude of the bound depends only on the Euclidean distance between the domains omega and omega prime. (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), FUNCTIONAL ANALYSIS, MAPPING(TRANSFORMATIONS), SET THEORY, INEQUALITIES, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE