Regularity for double phase problems
讲座名称：
Regularity for double phase problems
讲座时间：
2017-09-10
讲座人：
Sun-Sig Byun
形式：
校区：
兴庆校区
实践学分：
讲座内容：
报告题目：Regularity for double phase problems
报告时间 : 2017年9月13日上午10：30 - 11：20（星期三）
报告地点: 理科楼407
报告人：Sun-Sig Byun, Professor
Department of Mathematical Sciences
Seoul National University， Korea
Abstract
We discuss on recent advances in the regularity for a class of non-uniformly elliptic and parabolic problems with phase transitions. Besides, we consider double phase problem with BMO coefficient in divergence form on a bounded nonsmooth domain. The problem under consideration is characterized by the fact that both ellipticity and growth switch between a type of polynomial and a type of logarithm according to the position, which describes a feature of strongly anisotropic materials.We obtain the global Calderón–Zygmund type estimates for the distributional solution in the case that the associated nonlinearity has a small BMO and the boundary of the domain is sufficiently flat in the Reifenberg sense.
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