Abstract elliptic operators appearing in atmospheric dispersion

dc.authorscopusid6508234400
dc.authorscopusid25634561700
dc.authorwosidShakhmurov, Veli/AAG-8871-2019
dc.contributor.authorShakhmurov, Veli B.
dc.contributor.authorSahmurova, Aida
dc.date.accessioned2024-05-25T11:23:27Z
dc.date.available2024-05-25T11:23:27Z
dc.date.issued2014
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, Baku, Azerbaijan; [Sahmurova, Aida] Okan Univ, TR-34959 Istanbul, Turkeyen_US
dc.description.abstractIn this paper, the boundary value problem for the differential-operator equation with principal variable coefficients is studied. Several conditions for the separability and regularity in abstract L-p-spaces are given. Moreover, sharp uniform estimates for the resolvent of the corresponding elliptic differential operator are shown. It is implies that this operator is positive and also is a generator of an analytic semigroup. Then the existence and uniqueness of maximal regular solution to nonlinear abstract parabolic problem is derived. In an application, maximal regularity properties of the abstract parabolic equation with variable coefficients and systems of parabolic equations are derived in mixed L-p-spaces.en_US
dc.identifier.citation2
dc.identifier.doi10.1186/1687-2770-2014-43
dc.identifier.issn1687-2770
dc.identifier.scopus2-s2.0-84899882531
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1186/1687-2770-2014-43
dc.identifier.urihttps://hdl.handle.net/20.500.14517/730
dc.identifier.wosWOS:000333607300002
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherSpringeropenen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectseparable boundary value problemsen_US
dc.subjectequations with variable coefficientsen_US
dc.subjectestimates of the resolventen_US
dc.subjectdifferential-operator equationsen_US
dc.subjectwell-posedness for parabolic problemsen_US
dc.subjectreaction-diffusion equationsen_US
dc.titleAbstract elliptic operators appearing in atmospheric dispersionen_US
dc.typeArticleen_US
dspace.entity.typePublication

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