Gradient estimates for parabolic equations in generalized weighted Morrey spaces
   
Yazarlar (4)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Shamsiyya Muradova
Azerbaijan National Academy Of Sciences, Azerbaycan
Mehriban Omarova
Azerbaijan National Academy Of Sciences, Azerbaycan
Lubomira Softova
Università Degli Studi Della Campania Luigi Vanvitelli, İtalya
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Acta Mathematica Sinica English Series (Q3)
Dergi ISSN 1439-8516 Wos Dergi Scopus Dergi
Makale Dili İngilizce Basım Tarihi 08-2016
Cilt / Sayı / Sayfa 32 / 8 / 911–924 DOI 10.1007/s10114-016-5530-3
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