Document Type

PhD diss.

Date of Degree

2010

Degree Name

PhD (Doctor of Philosophy)

Department

Mathematics

First Advisor

Lihe Wang

Abstract

W1,p estimate for the solutions of elliptic equations whose coefficient matrix can have large jump along the boundary of subdomains is obtained. The principal coefficients are supposed to be in the John-Nirenberg space with small BMO seminorms. The domain and subdomains are Reifenberg flat domains and moreover, it has been shown that the estimates are uniform with respect to the distance between the subdomains.

Pages

v, 48

Bibliography

46-48

Copyright

Copyright 2010 Ko Woon Um

Included in

Mathematics Commons

Share

COinS