Gradient Estimates for Parabolic Equations in Generalized Weighted Morrey Spaces

被引：0
|
作者：
Vagif GULIYEV [1 ,2 ]
Shamsiyya MURADOVA [2 ]
Mehriban OMAROVA [2 ]
Lubomira SOFTOVA [3 ]
机构：
[1] Ahi Evran University,Department of Mathematics
[2] Institute of Mathematics and Mechanics,Academy of Sciences of Azerbaijan
[3] Department of Civil Engineering,Design,Construction and Environment,Second University of
来源：
Acta Mathematica Sinica | 2016年 / 32卷 / 08期
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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 Calderón–Zygmund type estimate for the gradient of the solution in generalized weighted Morrey spaces with Muckenhoupt weight.
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页码：911 / 924
页数：14
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