NONLOCAL ELLIPTIC PROBLEMS AND APPLICATIONS

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dc.authorscopusid6508234400
dc.contributor.authorShakhmurov, Veli B.
dc.date.accessioned2024-05-25T11:39:54Z
dc.date.available2024-05-25T11:39:54Z
dc.date.issued2020
dc.departmentOkan Universityen_US
dc.department-temp[Shakhmurov, Veli B.] Okan Univ, Dept Mech Engn, TR-34959 Istanbul, Turkey; [Shakhmurov, Veli B.] Azerbaijan Natl Acad Sci, Inst Math & Mech, F Agaev 9, AZ-1141 Baku, Azerbaijanen_US
dc.description.abstractIn this paper, the integral boundary value problems for differential-operator equations with principal variable coefficients are studied. Several conditions for the L-p-separability are given. Moreover, the sharp coercive estimates for resolvents of corresponding differential operators are shown. It is implied that these operators are positive and also are generators of analytic semigroups. Then, the existence and uniqueness of maximal regular solution to nonlinear abstract elliptic equations is derived. In application, maximal regularity properties of the abstract parabolic equation with variable coefficients and systems of elliptic equations are derived in mixed L-p-spaces.en_US
dc.identifier.citation0
dc.identifier.doi10.17323/1609-4514-2020-20-1-185-210
dc.identifier.endpage210en_US
dc.identifier.issn1609-3321
dc.identifier.issn1609-4514
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85078936652
dc.identifier.scopusqualityQ2
dc.identifier.startpage185en_US
dc.identifier.urihttps://doi.org/10.17323/1609-4514-2020-20-1-185-210
dc.identifier.urihttps://hdl.handle.net/20.500.14517/1361
dc.identifier.volume20en_US
dc.identifier.wosWOS:000509758600008
dc.identifier.wosqualityQ3
dc.language.isoen
dc.publisherindependent Univ Moscow-iumen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSeparable boundary value problemsen_US
dc.subjectequations with variable coefficientsen_US
dc.subjectdifferential-operator equationen_US
dc.subjectnonlinear abstract differential equationsen_US
dc.subjectAbstract Sobolev spacesen_US
dc.subjectwell-posedness of parabolic problemsen_US
dc.titleNONLOCAL ELLIPTIC PROBLEMS AND APPLICATIONSen_US
dc.typeArticleen_US
dspace.entity.typePublication

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