Parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces

We obtain the global weighted Morrey-type regularity of the solution of the regular oblique derivative problem for linear uniformly parabolic operators with VMO coefficients. We show that if the right-hand side of the parabolic equation belongs to certain generalized weighted Morrey space Mp,ϕ(Q, w)...

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Bibliographic Details
Main Authors: Guliyev Vagif S., Omarova Mehriban N.
Format: Article
Language:English
Published: De Gruyter 2016-01-01
Series:Open Mathematics
Subjects:
vmo
Online Access:https://doi.org/10.1515/math-2016-0006