# 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.

# Descriptors:

# Subject Categories:

- Theoretical Mathematics