Lorentz estimates for degenerate and singular evolutionary systems

被引：70

作者：

Baroni, Paolo ^{[1
]}

机构：

[1] Uppsala Univ, Dept Math, SE-75106 Uppsala, Sweden

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年 / 255卷 / 09期

关键词：

Parabolic systems; Lorentz spaces; CALDERON-ZYGMUND THEORY; PARABOLIC EQUATIONS; ELLIPTIC-EQUATIONS; HIGHER INTEGRABILITY; WEAK SOLUTIONS; GRADIENT; REGULARITY; COEFFICIENTS;

D O I：

10.1016/j.jde.2013.07.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove estimates of Calderon-Zygmund type for evolutionary p-Laplacian systems in the setting of Lorentz spaces. We suppose the coefficients of the system to satisfy only a VMO condition with respect to the space variable. Our results hold true, mutatis mutandis, also for stationary p-Laplacian systems. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：2927 / 2951

页数：25

共 40 条

[1]

Acerbi E, 2005, J REINE ANGEW MATH, V584, P117

[2] Gradient estimates for a class of parabolic systems [J].

Acerbi, Emilio ;

Mingione, Giuseppe .

DUKE MATHEMATICAL JOURNAL, 2007, 136 (02) :285-320

[3]

[Anonymous], 2003, DIRECT METHODS CALCU, DOI DOI 10.1142/5002

[4]

[Anonymous], 1993, DEGENERATE PARABOLIC, DOI DOI 10.1007/978-1-4612-0895-2

[5]

BARONI P., PREPRINT

[6]

Baroni P., 2013, REV MAT IBE IN PRESS

[7] Marcinkiewicz estimates for degenerate parabolic equations with measure data [J].

Baroni, Paolo .

JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 267 (09) :3397-3426

[8]

Baroni P, 2012, HOUSTON J MATH, V38, P855

[9] Degenerate problems with irregular obstacles [J].

Boegelein, Verena ;

Duzaar, Frank ;

Mingione, Giuseppe .

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2011, 650 :107-160

[10] Parabolic equations with BMO nonlinearity in Reifenberg domains [J].

Byun, Sun-Sig ;

Wang, Lihe .

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2008, 615 :1-24

← 1 2 3 4 →