Yazarlar |
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 |