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):

Report Date:

1967-06-01

Pagination or Media Count:

76.0

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.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE