Gradient estimates for degenerate quasi-linear parabolic equations

被引：5

作者：

Liskevich, Vitali ^{[1
]}

Skrypnik, Igor I. ^{[1
,2
]}

Sobol, Zeev

机构：

[1] Swansea Univ, Dept Math, Swansea SA2 8PP, W Glam, Wales

[2] Inst Appl Math & Mech, UA-83114 Donetsk, Ukraine

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2011年 / 84卷

关键词：

ELLIPTIC-EQUATIONS; FORM BOUNDEDNESS; REGULARITY; OPERATOR;

D O I：

10.1112/jlms/jdr020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a class of divergence-type quasi-linear degenerate parabolic equations with differentiable structure and lower order coefficients form small with respect to the Laplacian we obtain L-q-estimates for the gradients of solutions, and for the lower order coefficients from Kato-type classes we show that the solutions are Lipschitz continuous with respect to the space variable.

引用

页码：446 / 474

页数：29

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