
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 nonsmooth 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