Gradient estimates for parabolic equations in generalized weighted Morrey spaces

Authors
Guliyev, Vagif Muradova, Shamsiyya Omarova, Mehriban Softova, Lubomira
Citation
Guliyev, Vagif et al., Gradient estimates for parabolic equations in generalized weighted Morrey spaces, Acta mathematica Sinica. English series (Print) , 32(8), 2016, pp. 911-924
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
32
Issue
8
Year of publication
2016
Pages
911 - 924
Database
ACNP
SICI code
Abstract
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.