Global regularity for degenerate/singular parabolic equations involving measure data

被引：6

作者：

Byun, Sun-Sig ^{[1
,2
]}

Park, Jung-Tae ^{[3
]}

Shin, Pilsoo ^{[4
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea

[2] Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea

[3] Korea Inst Adv Study, Seoul 02455, South Korea

[4] Kyonggi Univ, Dept Math, Suwon 16227, South Korea

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 60卷 / 01期

关键词：

REIFENBERG FLAT DOMAINS; ELLIPTIC-EQUATIONS; ZYGMUND THEORY; BLOOD-FLOW; SYSTEMS; PROPERTY; BOUNDARY;

D O I：

10.1007/s00526-020-01906-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider degenerate and singular parabolic equations with p-Laplacian structure in bounded nonsmooth domains when the right-hand side is a signed Radon measure with finite total mass. We develop a new tool that allows global regularity estimates for the spatial gradient of solutions to such parabolic measure data problems, by introducing the (intrinsic) fractional maximal function of a given measure.

引用

页数：32

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