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Gradient estimates for parabolic equations in generalized weighted Morrey spaces    
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Shamsiyya Muradova
Mehriban Omarova
Lubomira Softova
Özet
We consider the Cauchy-Dirichlet problem for linear divergence form parabolic operators in bounded Reifenberg flat domain. The coefficients supposed to be only measurable in one of the space variables and small BMO with respect to the others. We obtain Caldern-Zygmund type estimate for the gradient of the solution in generalized weighted Morrey spaces with Muckenhoupt weight.
Anahtar Kelimeler
BMO | Cauchy–Dirichlet problem | Generalized weighted Morrey spaces | gradient estimates | measurable coefficients | parabolic equations
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı ACTA MATHEMATICA SINICA-ENGLISH SERIES
Dergi ISSN 1439-8516
Dergi Grubu Q3
Makale Dili İngilizce
Basım Tarihi 08-2016
Cilt No 32
Sayı 8
Sayfalar 911 / 924
Doi Numarası 10.1007/s10114-016-5530-3