Optimal W1,p regularity theory for parabolic equations in divergence form

被引：0

作者：

Sun-Sig Byun

机构：

[1] Seoul National University,Department of Mathematical Sciences

来源：

Journal of Evolution Equations | 2007年 / 7卷

关键词：

Primary 35R05, 35R35; Secondary 35J15, 35J25; Parabolic equations; BMO Space; Parabolic maximal function; Regularity theory;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This work treats Lp regularity theory for weak solutions of parabolic equations in divergence form with discontinuous coefficients on nonsmooth domains. We essentially obtain an optimal condition on the coefficients under which the global W1,p regularity theory holds.

引用

页码：415 / 428

页数：13

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