Gradient estimates for parabolic equations in generalized weighted Morrey spaces

被引：8
|
作者：
Guliyev, Vagif [1 ,2 ]
Muradova, Shamsiyya [2 ]
Omarova, Mehriban [2 ]
Softova, Lubomira [3 ]
机构：
[1] Ahi Evran Univ, Dept Math, Kirsehir, Turkey
[2] Azerbaijan Acad Sci, Inst Math & Mech, B Vahabzade St 9, AZ-1141 Baku, Azerbaijan
[3] Univ Naples 2, Dept Civil Engn Design Construct & Environm, Via Roma 9, I-81031 Aversa, Italy
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2016年 / 32卷 / 08期
关键词：
Generalized weighted Morrey spaces; parabolic equations; Cauchy-Dirichlet problem; measurable coefficients; BMO; gradient estimates; MAXIMAL OPERATOR; BMO COEFFICIENTS; DOMAINS;
D O I：
10.1007/s10114-016-5530-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Cauchy-Dirichlet problem for linear divergence form parabolic operators in bounded Reifenberg flat domain. The coefficients supposed to be only measurable in one of the space variables and small BMO with respect to the others. We obtain Caldern-Zygmund type estimate for the gradient of the solution in generalized weighted Morrey spaces with Muckenhoupt weight.
引用
收藏
页码：911 / 924
页数：14
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