Generalized Money estimates for the gradient of divergence form parabolic operators with discontinuous coefficients

被引：18

作者：

Guliyev, Vagif S. ^{[1
,2
]}

Softova, Lubomira G. ^{[3
]}

机构：

[1] Ahi Evran Univ, Dept Math, Kirsehir, Turkey

[2] Azerbaijan Acad Sci, Inst Math & Mech, AZ-1141 Baku, Azerbaijan

[3] Univ Naples 2, Dept Civil Engn Design Construct & Environm, Naples, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 259卷 / 06期

关键词：

Generalized Money spaces; Parabolic operators; Cauchy-Dirichlet problem; Measurable coefficients; BMO; Gradient estimates; SINGULAR INTEGRAL-OPERATORS; MORREY SPACES; MAXIMAL OPERATOR; BMO COEFFICIENTS; EQUATIONS; DOMAINS; BOUNDEDNESS; REGULARITY;

D O I：

10.1016/j.jde.2015.03.032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Cauchy Dirichlet problem for linear divergence form parabolic operators in bounded Reifenberg-flat domains. The coefficients are supposed to be only measurable in one of the space variables and small BMO with respect to the others. We obtain boundedness of the Hardy-Littlewood maximal operator in the generalized Morrey spaces W-rho,W-phi, p is an element of (1, infinity) and weight phi satisfying certain supremum condition. This permits us to obtain Calderon-Zygmund type estimate for the gradient of the weak solution of the problem. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：2368 / 2387

页数：20

共 42 条

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JOURNAL OF FUNCTIONAL ANALYSIS, 2023, 285 (02)

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