HIGHER INTEGRABILITY FOR PARABOLIC SYSTEMS WITH NON-STANDARD GROWTH AND DEGENERATE DIFFUSIONS

被引：1

作者：

Boegelein, Verena ^{[1
]}

Duzaar, Frank ^{[1
]}

机构：

[1] Univ Erlangen Nurnberg, Dept Math, D-91054 Erlangen, Germany

来源：

PUBLICACIONS MATEMATIQUES | 2011年 / 55卷 / 01期

关键词：

Higher integrability; degenerate parabolic systems; non-standard growth condition; parabolic p-Laplacean; NONLINEAR ELLIPTIC SYSTEMS; P-LAPLACIAN TYPE; WEAK SOLUTIONS; REGULARITY; GRADIENT; EQUATIONS; BOUNDARY; EXPONENT; FLUIDS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to establish a Meyer's type higher integrability result for weak solutions of possibly degenerate parabolic systems of the type partial derivative(t)u - div a(x, t, Du) = div(vertical bar F vertical bar F-p(x,F- t)-2). The vector-field a is assumed to fulfill a non-standard p(x, t)-growth condition. In particular it is shown that there exists epsilon > 0 depending only on the structural data such that there holds: vertical bar Du vertical bar(p(.)(1+epsilon)) is an element of L-loc(1), together with a local estimate for the p(.)(1+epsilon)-energy.

引用

页码：201 / 250

页数：50

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