Partial regularity for solutions of quasilinear parabolic systems with nonsmooth in time principal matrix

被引：7

作者：

Arkhipova, Arina A. ^{[1
]}

Stara, Jana ^{[2
]}

John, Oldrich ^{[2
]}

机构：

[1] St Petersburg State Univ, Math & Mech Fac, St Petersburg 198504, Russia

[2] KMA MFF UK, Sokolovska 83, Prague 18600 8, Czech Republic

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2014年 / 95卷

关键词：

Quasilinear parabolic systems; Nonsmooth in time nonlinearities; Regularity; Morrey; VMO spaces; ELLIPTIC-SYSTEMS; WEAK SOLUTIONS; COEFFICIENTS; EQUATIONS;

D O I：

10.1016/j.na.2013.09.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Partial regularity for solutions of quasilinear parabolic systems with nonsmooth in time principal matrix is proved in the paper. Only boundedness of this matrix is assumed in time variable. To prove the result, we apply the method of modified A-caloric approximation assuming that the matrix A is not the constant one but depends on the time variable t. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：421 / 435

页数：15

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