| dc.contributor.author | Guliyev, Vagif S. | |
| dc.contributor.author | Softova, Lubomira G. | |
| dc.date.accessioned | 2019-11-24T20:57:38Z | |
| dc.date.available | 2019-11-24T20:57:38Z | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 0022-0396 | |
| dc.identifier.issn | 1090-2732 | |
| dc.identifier.uri | https://dx.doi.org/10.1016/j.jde.2015.03.032 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/2750 | |
| dc.description | WOS: 000368466500008 | en_US |
| dc.description.abstract | We consider the Cauchy Dirichlet problem for linear divergence form parabolic operators in bounded Reifenberg-flat domains. The coefficients are supposed to be only measurable in one of the space variables and small BMO with respect to the others. We obtain boundedness of the Hardy-Littlewood maximal operator in the generalized Morrey spaces W-rho,W-phi, p is an element of (1, infinity) and weight phi satisfying certain supremum condition. This permits us to obtain Calderon-Zygmund type estimate for the gradient of the weak solution of the problem. (C) 2015 Elsevier Inc. All rights reserved. | en_US |
| dc.description.sponsorship | Ahi Evran University Scientific Research ProjectAhi Evran University [PYO.FEN.4003.13.003, PYO.FEN.4003-2.13.007] | en_US |
| dc.description.sponsorship | The research of V. Guliyev was partially supported by the grant of Ahi Evran University Scientific Research Projects (PYO.FEN.4003.13.003) and (PYO.FEN.4003-2.13.007). L. Softova is a member of Gruppo Nazionale per l'Analisi Matematica, la Probabilita e le loro Applicazioni (GNAMPA) of Istituto Nazionale di Alta Matematica (INdAM). The present work is prepared during the visit of the second author at the Ahi Evran University in the framework of the program ERASMUS. The author wishes to express her gratitude to the staff of the Department of Mathematics for the kind hospitality. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | en_US |
| dc.relation.isversionof | 10.1016/j.jde.2015.03.032 | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Generalized Money spaces | en_US |
| dc.subject | Parabolic operators | en_US |
| dc.subject | Cauchy-Dirichlet problem | en_US |
| dc.subject | Measurable coefficients | en_US |
| dc.subject | BMO | en_US |
| dc.subject | Gradient estimates | en_US |
| dc.title | Generalized Money estimates for the gradient of divergence form parabolic operators with discontinuous coefficients | en_US |
| dc.type | article | en_US |
| dc.relation.journal | JOURNAL OF DIFFERENTIAL EQUATIONS | en_US |
| dc.contributor.department | Kırşehir Ahi Evran Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.identifier.volume | 259 | en_US |
| dc.identifier.issue | 6 | en_US |
| dc.identifier.startpage | 2368 | en_US |
| dc.identifier.endpage | 2387 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
