Parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Open Mathematics (Q3) | ||
| Dergi ISSN | 2391-5455 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 02-2016 |
| Cilt / Sayı / Sayfa | 14 / 1 / 49–61 | DOI | 10.1515/math-2016-0006 |
| Makale Linki | https://doi.org/10.1515/math-2016-0006 | ||
| 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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 5 |
| SCOPUS | 6 |