Interior Schauder-type estimates for m - th order elliptic operators in rearrangement-invariant Sobolev spaces

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dc.authorscopusidŞeyma Çetin / 57204545049
dc.authorwosidŞeyma Çetin / JJL-9477-2023
dc.contributor.authorMamedov, Eminağa M.
dc.contributor.authorÇetin, Şeyma
dc.date.accessioned2025-04-18T10:49:11Z
dc.date.available2025-04-18T10:49:11Z
dc.date.issued2024
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümü
dc.description.abstractIn this study, we investigate the m-th order elliptic operators on n-dimensional bounded domain ohm subset of R n with discontinuous coefficients in the rearrangement-invariant Sobolev space W X m (ohm). In general, the considered rearrangement-invariant spaces are not separable, so the use of classical methods in these spaces requires substantial modification of classical methods and a lot of preparation, concerning correctness of substitution operator, problems related to the extension operator in such spaces, etc. For this purpose, the corresponding separable subspaces of these spaces, in which the set of compact supported infinitely differentiable functions is dense, are introduced based on the shift operator. We establish interior Schauder-type estimates in the above subspaces. Note that Lebesgue spaces L p (ohm), grand-Lebesgue spaces, Marcinkiewicz spaces, weak-type L w p spaces, etc. are also covered by such spaces.
dc.identifier.citationMAMEDOV, E. M., & Çetin, Ş. (2024). Interior Schauder-type estimates for m− th order elliptic operators inrearrangement-invariant Sobolev spaces. Turkish Journal of Mathematics, 48(4), 793-816.
dc.identifier.doi10.55730/1300-0098.3541
dc.identifier.endpage816
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85200402151
dc.identifier.scopusqualityQ2
dc.identifier.startpage793
dc.identifier.urihttp://dx.doi.org/10.55730/1300-0098.3541
dc.identifier.urihttps://hdl.handle.net/20.500.12713/7203
dc.identifier.volume48
dc.identifier.wosWOS:001265734400011
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorÇetin, Şeyma
dc.language.isoen
dc.publisherTubitak scientific & technological research council Turkey
dc.relation.ispartofTurkish journal of mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectBanach Function Space
dc.subjectRearrangement-Invariant Spaces
dc.subjectSobolev Spaces
dc.subjectElliptic Operator
dc.subjectSchauder Type Estimate
dc.titleInterior Schauder-type estimates for m - th order elliptic operators in rearrangement-invariant Sobolev spaces
dc.typeArticle

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