On the third boundary value problem for parabolic equations in a non-regular domain of R? +1
dc.authorid | 0000-0001-5584-1454 | |
dc.contributor.author | Kheloufi, Arezki | en_US |
dc.date.accessioned | 2019-08-01T12:10:23Z | |
dc.date.accessioned | 2019-08-05T16:08:58Z | |
dc.date.available | 2019-08-01T12:10:23Z | |
dc.date.available | 2019-08-05T16:08:58Z | |
dc.date.issued | 2016 | |
dc.department | Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.department | Işık University, Faculty of Arts and Sciences, Department of Mathematics | en_US |
dc.description.abstract | In this paper, we look for sufficient conditions on the lateral surface of the domain and on the coefficients of the boundary conditions of a N?space dimensional linear parabolic equation, in order to obtain existence, uniqueness and maximal regularity of the solution in a Hilbertian anisotropic Sobolev space when the right hand side of the equation is in a Lebesgue space. This work is an extension of solvability results obtained for a second order parabolic equation, set in a non-regular domain of R 3 obtained in [1], to the case where the domain is cylindrical, not with respect to the time variable, but with respect to N space variables, N > 1. | en_US |
dc.description.version | Publisher's Version | en_US |
dc.identifier.citation | Kheloufi, A. (2016). On the third boundary value problem for parabolic equations in a non-regular domain OFRN +1. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, 6(1), 1-14. | en_US |
dc.identifier.endpage | 14 | |
dc.identifier.issn | 2146-1147 | |
dc.identifier.issue | 1 | |
dc.identifier.startpage | 1 | |
dc.identifier.uri | https://hdl.handle.net/11729/2129 | |
dc.identifier.uri | https://search.trdizin.gov.tr/tr/yayin/detay/202386 | |
dc.identifier.uri | http://jaem.isikun.edu.tr/web/index.php/archive/91-vol6no1/229 | |
dc.identifier.volume | 6 | |
dc.indekslendigikaynak | TR-Dizin | en_US |
dc.institutionauthor | Kheloufi, Arezki | en_US |
dc.institutionauthorid | 0000-0001-5584-1454 | |
dc.language.iso | en | en_US |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.publisher | Işık University Press | en_US |
dc.relation.ispartof | TWMS Journal of Applied and Engineering Mathematics | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Anisotropic Sobolev spaces | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Non-regular domains | en_US |
dc.subject | Parabolic equations | en_US |
dc.subject | Robin conditions | en_US |
dc.subject | Matematik | en_US |
dc.title | On the third boundary value problem for parabolic equations in a non-regular domain of R? +1 | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |
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