Degenerate abstract parabolic equations and applications

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dc.authorscopusid6508234400
dc.authorscopusid25634561700
dc.contributor.authorShakhmurov,V.B.
dc.contributor.authorSahmurova,A.
dc.date.accessioned2024-10-15T20:22:54Z
dc.date.available2024-10-15T20:22:54Z
dc.date.issued2015
dc.departmentOkan Universityen_US
dc.department-tempShakhmurov V.B., Department of Mechanical Engineering, Okan University, Akfirat, Tuzla, Istanbul, 34959, Turkey; Sahmurova A., Department of Environomental Engineering, Okan University, Akfirat, Tuzla, Istanbul, 34959, Turkeyen_US
dc.description.abstractLinear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equations and boundary conditions are degenerated on all boundary and contain some parameters. The linear problem is considered on the moving domain. The separability properties of elliptic and parabolic problems and Strichartz type estimates in mixed Lp spaces are obtained. Moreover, the existence and uniqueness of optimal regular solution of mixed problem for nonlinear parabolic equation is established. Note that, these problems arise in fluid mechanics and environmental engineering.en_US
dc.identifier.citation0
dc.identifier.doi[SCOPUS-DOI-BELIRLENECEK-89]
dc.identifier.endpage33en_US
dc.identifier.issn1938-9787
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-84946545035
dc.identifier.startpage15en_US
dc.identifier.urihttps://hdl.handle.net/20.500.14517/6805
dc.identifier.volume18en_US
dc.language.isoen
dc.publisherMathematical Research Publishersen_US
dc.relation.ispartofCommunications in Mathematical Analysisen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDegenerate PDEen_US
dc.subjectDifferential-operator equationsen_US
dc.subjectNonlinear problemsen_US
dc.subjectPositive operators in Banach spacesen_US
dc.subjectSemigroups of operatorsen_US
dc.subjectSeparabile differential operatorsen_US
dc.titleDegenerate abstract parabolic equations and applicationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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