Calderón-Zygmund estimate for homogenization of parabolicsystems

Sun-Sig  Byun; Yunsoo  Jang

doi:10.3934/dcds.2016091

Article Contents

2016, Volume 36, Issue 12: 6689-6714. Doi: 10.3934/dcds.2016091

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Calderón-Zygmund estimate for homogenization of parabolic systems

Sun-Sig Byun^1, and
Yunsoo Jang^2,

1.
Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul 08826
2.
Center for Mathematical Analysis and Computation (CMAC), Yonsei University, Seoul 03722

Received: January 2016

Revised: July 2016

Published: May 2017

Abstract / Introduction Related Papers Cited by

Abstract

We establish a global Calderón-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.

Keywords:

Mathematics Subject Classification: 35K40, 35B65, 35B27.

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References

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