Maximal regularity properties of Agranovich-Vishik type abstract elliptic operators in the half-plane

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dc.authorscopusid 56644210900
dc.authorscopusid 6508234400
dc.authorwosid Shakhmurov, Veli/AAG-8871-2019
dc.contributor.author Ozer, Asuman
dc.contributor.author Shakhmurov, Veli B.
dc.date.accessioned 2024-05-25T11:24:07Z
dc.date.available 2024-05-25T11:24:07Z
dc.date.issued 2014
dc.department Okan University en_US
dc.department-temp [Ozer, Asuman; Shakhmurov, Veli B.] Okan Univ, TR-34959 Istanbul, Turkey; [Shakhmurov, Veli B.] Natl Acad Sci, Inst Math & Mech, Baku, Azerbaijan en_US
dc.description.abstract In this work, Agranovich-Vishik type abstract elliptic operators in the half-plane are studied. We derive maximal regularity properties of these operators in UMD-valued Sobolev spaces. Our main aim is to prove existence and uniqueness theorems for the solution of abstract elliptic equation with regular boundary conditions on these function spaces. First, by applying the Fourier multiplier, we prove the separability properties of this differential operator in R-n. By using the embedding theorem and the trace theorem, we obtain the main result. en_US
dc.identifier.citationcount 0
dc.identifier.doi 10.1186/1029-242X-2014-233
dc.identifier.issn 1029-242X
dc.identifier.scopus 2-s2.0-84929377295
dc.identifier.scopusquality Q2
dc.identifier.uri https://doi.org/10.1186/1029-242X-2014-233
dc.identifier.uri https://hdl.handle.net/20.500.14517/757
dc.identifier.wos WOS:000338234200001
dc.identifier.wosquality Q1
dc.institutionauthor Ozer A.
dc.language.iso en
dc.publisher Springer international Publishing Ag en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 0
dc.subject maximal regularity en_US
dc.subject elliptic operators en_US
dc.subject L-p Fourier multiplier en_US
dc.subject embedding in Sobolev spaces en_US
dc.subject trace in Sobolev spaces en_US
dc.title Maximal regularity properties of Agranovich-Vishik type abstract elliptic operators in the half-plane en_US
dc.type Article en_US
dc.wos.citedbyCount 0

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