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GENERALIZED MORREY REGULARITY FOR PARABOLIC EQUATIONS WITH DISCONTINUOUS DATA    
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Lubomira G. Softova
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
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
Dergi ISSN 0013-0915
Dergi Grubu Q4
Makale Dili İngilizce
Basım Tarihi 02-2015
Cilt No 58
Sayı 1
Sayfalar 199 / 218
Doi Numarası 10.1017/S0013091513000758