Global regularity in Orlicz--Morrey spaces of solutions to parabolic equations with VMO coefficients
Yazarlar (4)
Prof. Dr. Vagıf GULIYEV
Dumlupinar Üniversitesi, Türkiye
Dumlupinar Üniversitesi, Türkiye
Dumlupinar Üniversitesi, Türkiye
Azerbaijan National Academy Of Sciences, Azerbaycan
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Journal of Pseudo Differential Operators and Applications | ||
| Dergi ISSN | 1662-9981 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 12-2020 |
| Cilt / Sayı / Sayfa | 11 / 4 / 1963–1989 | DOI | 10.1007/s11868-019-00325-y |
| 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 |