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）
报告人：Sun-Sig Byun, Professor
Department of Mathematical Sciences
Seoul National University， Korea
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.
Professor Sun-Sig Byun
Professor Sun-Sig Byun’s research focuses on Regularity for partial differential equations ,applications of functional analysis to partial differential equations and partial differential equations in mathematical physics. He is vice Chair of Department of Mathematical Sciences of Seoul National University of Korea.