CALDERON-ZYGMUND ESTIMATE FOR HOMOGENIZATION OF PARABOLIC SYSTEMS

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초록

We establish a global Calderon-Zygmund estimate for homogenization of a parabolic system in divergence form with discontinuous coefficients in a bounded nonsmooth domain under the assumptions that the coefficients have small BMO seminorms and the boundary of the domain is delta-flat for some delta>0 depending on the given data.

키워드

Parabolic systemBMO spaceReifenberg domainhomogenizationDirichlet problemEQUATIONS
제목
CALDERON-ZYGMUND ESTIMATE FOR HOMOGENIZATION OF PARABOLIC SYSTEMS
저자
Byun, Sun-SigJang, Yunsoo
DOI
10.3934/dcds.2016091; 10.3934/dcds.201691
발행일
2016-12
유형
Article
저널명
Discrete and Continuous Dynamical Systems
36
12
페이지
6689 ~ 6714