GENERALIZED MORREY REGULARITY FOR PARABOLIC EQUATIONS WITH DISCONTINUOUS DATA
    
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Lubomira G. Softova
Università Degli Studi Della Campania Luigi Vanvitelli, İtalya
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Proceedings of the Edinburgh Mathematical Society (Q4)
Dergi ISSN 0013-0915 Wos Dergi Scopus Dergi
Makale Dili İngilizce Basım Tarihi 02-2015
Cilt / Sayı / Sayfa 58 / 1 / 199–218 DOI 10.1017/S0013091513000758
Makale Linki https://arxiv.org/pdf/1210.6566
Özet
We prove continuity in generalized parabolic Morrey spaces M-p,M-phi of sublinear operators generated by the parabolic Calderon-Zygmund operator and by the commutator of this operator with bounded mean oscillation (BMO) functions. As a consequence, we obtain a global M-p,M-phi-regularity result for the Cauchy-Dirichlet problem for linear uniformly parabolic equations with vanishing mean oscillation (VMO) coefficients.
Anahtar Kelimeler
BMO | Calderón-Zygmund integrals | Cauchy-Dirichlet problem | generalized Morrey spaces | sublinear operators | VMO