Gradient estimates for a class of parabolic systems

被引：393

作者：

Acerbi, Emilio ^{[1
]}

Mingione, Giuseppe ^{[1
]}

机构：

[1] Univ Parma, Dipartimento Matemat, I-43100 Parma, Italy

来源：

DUKE MATHEMATICAL JOURNAL | 2007年 / 136卷 / 02期

关键词：

D O I：

10.1215/S0012-7094-07-13623-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish local Calderon-Zygmund-type estimates for a class of parabolic problems whose model is the nonhomogeneous, degenerate/singular parabolic p-Laplacian system u(t) - div(\Du\(p-2)Du) = div(\F\Fp-2), proving that F is an element of L-loc(q) double right arrow Du is an element of L-loc(q), for all q >= p. We also treat systems with discontinuous coefficients of vanishing mean oscillation (VMO) type.

引用

页码：285 / 320

页数：36

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