img
Global regularity in Orlicz--Morrey spaces of solutions to parabolic equations with VMO coefficients  
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Ismail Ekincioglu
Dumlupinar Üniversitesi, Turkey
Aysel Ahmadli
Dumlupinar Üniversitesi, Turkey
Mehriban Omarova
Azerbaijan National Academy of Sciences, Azerbaijan
Özet
We show continuity in generalized parabolic Orlicz--Morrey spaces MΦ,φ of sublinear integral operators generated by parabolic Calderón--Zygmund operator and their commutators with BMO functions. As a consequence, we obtain a global MΦ,φ-regularity result for the Cauchy--Dirichlet problem for linear uniformly parabolic equations with vanishing mean oscillation coefficients.
Anahtar Kelimeler
Cauchy--Dirichlet problem | Commutators | Generalized parabolic Orlicz--Morrey spaces | Parabolic Calderón--Zygmund integrals | Parabolic equations | VMO
Makale Türü Özgün Makale
Makale Alt Türü SCOPUS dergilerinde yayımlanan tam makale
Dergi Adı Journal of Pseudo-Differential Operators and Applications
Dergi ISSN 1662-9981
Makale Dili İngilizce
Basım Tarihi 12-2020
Cilt No 11
Sayı 4
Sayfalar 1963 / 1989
Doi Numarası 10.1007/s11868-019-00325-y