Calderon-Zygmund estimates for parabolic measure data equations

被引：25

作者：

Baroni, Paolo ^{[1
]}

Habermann, Jens ^{[2
]}

机构：

[1] Scuola Normale Super Pisa, I-56126 Pisa, Italy

[2] Univ Erlangen Nurnberg, Dept Math, D-52425 Erlangen, Germany

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 252卷 / 01期

关键词：

Calderon-Zygmund estimates; Parabolic equations; Measure data; SINGULAR SET; BOUNDARY-REGULARITY; ELLIPTIC-SYSTEMS; CONTINUITY; MINIMA;

D O I：

10.1016/j.jde.2011.08.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider parabolic equations of the type u(t) - div A(x. t. Du) = it having a Radon measure on the right-hand side and prove fractional integrability and differentiability results of Calderon-Zygmund type for weak solutions. We extend some of the integrability results for elliptic equations achieved by G. Mingione (2007) 1241 to the parabolic setting and locally recover the integrability results of L Boccardo, A. Dall'Aglio, T. Gallouet, and L. Orsina (1997) in [5]. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：412 / 447

页数：36

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