Global higher integrability for the parabolic equations in Reifenberg domains

被引：2

作者：

Yao, Fengping ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2010年 / 283卷 / 09期

基金：

高等学校博士学科点专项科研基金;

关键词：

Higher integrability; global; gradient; parabolic; Reifenberg; Orlicz; small BMO; ORLICZ SPACES; REGULARITY;

D O I：

10.1002/mana.200710084

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we generalize global L(p)-type gradient estimates to Orlicz spaces for weak solutions of the parabolic equations with small BMO coefficients in Reifenberg flat domains. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：1358 / 1367

页数：10

共 50 条

[1] Parabolic Equations in Reifenberg Domains
Sun-Sig Byun
Lihe Wang
Archive for Rational Mechanics and Analysis, 2005, 176 : 271 - 301
[2] Parabolic equations in Reifenberg domains
Byun, SS
Wang, LH
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2005, 176 (02) : 271 - 301
[3] Global higher integrability for parabolic quasiminimizers in nonsmooth domains
Mikko Parviainen
Calculus of Variations and Partial Differential Equations, 2008, 31 : 75 - 98
[4] Global higher integrability for parabolic quasiminimizers in nonsmooth domains
Parviainen, Mikko
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2008, 31 (01) : 75 - 98
[5] Parabolic equations in time dependent Reifenberg domains
Byun, Sun-Sig
Wang, Lihe
ADVANCES IN MATHEMATICS, 2007, 212 (02) : 797 - 818
[6] Lp estimates for parabolic equations in Reifenberg domains
Byun, SS
Wang, LH
JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 223 (01) : 44 - 85
[7] Parabolic equations with BMO nonlinearity in Reifenberg domains
Byun, Sun-Sig
Wang, Lihe
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2008, 615 : 1 - 24
[8] Global estimates for quasilinear parabolic equations on Reifenberg flat domains and its applications to Riccati type parabolic equations with distributional data
Quoc-Hung Nguyen
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 54 (04) : 3927 - 3948
[9] Global estimates for quasilinear parabolic equations on Reifenberg flat domains and its applications to Riccati type parabolic equations with distributional data
Quoc-Hung Nguyen
Calculus of Variations and Partial Differential Equations, 2015, 54 : 3927 - 3948
[10] QUASILINEAR DIVERGENCE FORM PARABOLIC EQUATIONS IN REIFENBERG FLAT DOMAINS
Palagachev, Dian K.
Softova, Lubomira G.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 31 (04) : 1397 - 1410

← 1 2 3 4 5 →