Nondivergence elliptic and parabolic problems with irregular obstacles

被引：5

作者：

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

Lee, Ki-Ahm ^{[1
,3
]}

Oh, Jehan ^{[1
,2
]}

Park, Jinwan ^{[1
,2
]}

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, Ctr Math Challenges, Seoul 02455, South Korea

来源：

MATHEMATISCHE ZEITSCHRIFT | 2018年 / 290卷 / 3-4期

基金：

新加坡国家研究基金会;

关键词：

Obstacle problem; Calderon and Zygmund estimate; Elliptic equation; Parabolic equation; Muckenhoupt weight; DIRICHLET PROBLEM; EQUATIONS; BOUNDARY;

D O I：

10.1007/s00209-018-2048-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the natural weighted Calderon and Zygmund estimates for solutions to elliptic and parabolic obstacle problems in nondivergence form with discontinuous coefficients and irregular obstacles. We also obtain Morrey regularity results for the Hessian of the solutions and Holder continuity of the gradient of the solutions.

引用

页码：973 / 990

页数：18

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