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Parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces   
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Mehriban N. Omarova
Özet
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 M-p,M-phi (Q, omega) than the strong solution belongs to the generalized weighted Sobolev-Morrey space (W) over dot(2,1)(p,phi) (Q, omega).
Anahtar Kelimeler
Generalized weighted Morrey spaces | Regular oblique derivative problem | Uniformly parabolic operators | VMO
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı OPEN MATHEMATICS
Dergi ISSN 2391-5455
Dergi Grubu Q3
Makale Dili İngilizce
Basım Tarihi 02-2016
Cilt No 14
Sayı 1
Sayfalar 49 / 61
Doi Numarası 10.1515/math-2016-0006