The transmission problem for the laplace operator on a domain with a cuspidal point

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dc.contributor.authorChikouche, Wided
dc.date.accessioned2024-07-12T20:55:52Z
dc.date.available2024-07-12T20:55:52Z
dc.date.issued2019en_US
dc.departmentMaltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesien_US
dc.description.abstractWe shall study the transmission problem for the Laplace operator subject to Dirichlet boundary conditions in a plane domain ? with an external cusp, ? being divided into two subdomains ?1 and ?2 separated by a straight interface. We look for a solution in the framework of L p -Sobolev spaces, 1 < p < +?. We prove that u ? H1 0 (?) solution of ?div(p?u) = f with f in L p (?) and p = pi on ?i , i = 1, 2, (p1, p2 are two positive real numbers, supposed to be different), is picewise in W2,p .en_US
dc.identifier.citationChikouche, W. (2019). The transmission problem for the laplace operator on a domain with a cuspidal point. International Conference of Mathematical Sciences (ICMS 2019). s. 61.en_US
dc.identifier.endpage61en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage61en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2905
dc.institutionauthorChikouche, Wided
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciences (ICMS 2019)en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01416
dc.subjectTransmission problemen_US
dc.subjectRegularityen_US
dc.subjectCuspidal domainsen_US
dc.titleThe transmission problem for the laplace operator on a domain with a cuspidal pointen_US
dc.typeArticle
dspace.entity.typePublication

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