Accession Number : AD0655448

Title :   RATE OF CONVERGENCE IN SINGULAR PERTURBATIONS.

Descriptive Note : Technical rept.,

Corporate Author : KANSAS UNIV LAWRENCE DEPT OF MATHEMATICS

Personal Author(s) : Greenlee,W. M.

Report Date : JUN 1967

Pagination or Media Count : 76

Abstract : The paper obtains rate of convergence estimates for solutions of singular perturbations of linear elliptic boundary value problems. The problem can be described as follows. Let D be a domain in R superscript n and let epsilon be a positive real parameter. Consider two boundary value problems on D, (epsilon U + B) w subscript epsilon = f, Bu = f, where U and B are elliptic differential operators with the order of U greater than the order of B. The problem is to determine in what sense w subscript epsilon converges to u on D as epsilon drops to 0 and to estimate the rate of convergence. This problem is investigated in the present work with the L superscript 2 theory of elliptic partial differential problems.

Descriptors :   (*PERTURBATION THEORY, BOUNDARY VALUE PROBLEMS), OPERATORS(MATHEMATICS), MAPPING(TRANSFORMATIONS), DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS, CONVERGENCE, THEOREMS, HILBERT SPACE

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE