Existence and blow up of solutions for a strongly damped petrovsky equation with variable-exponent nonlinearities

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dc.contributor.authorAntontsev S.
dc.contributor.authorFerreira J.
dc.contributor.authorPişkin E.
dc.date.accessioned2024-04-24T18:46:40Z
dc.date.available2024-04-24T18:46:40Z
dc.date.issued2021
dc.departmentDicle Üniversitesien_US
dc.description.abstractIn this article, we consider a nonlinear plate (or beam) Petrovsky equation with strong damping and source terms with variable exponents. By using the Banach contraction mapping principle we obtain local weak solutions, under suitable assumptions on the variable exponents p(·) and q(·). Then we show that the solution is global if p(·) ? q(·). Also, we prove that a solution with negative initial energy and p(·) < q(·) blows up in finite time. © 2021 Texas State University.en_US
dc.description.sponsorshipUID/MAT/04561/2019; Russian Science Foundation, RSF: 19-11-00069en_US
dc.description.sponsorshipAcknowledgements. S. Antontsev was partially supported by the RSF grant no. 19-11-00069, and by the Foundation for Science and Technology of Portugal, under the project UID/MAT/04561/2019 (35% of the results in this article, statement of the problem, preliminaries, global solutions).en_US
dc.identifier.endpage18en_US
dc.identifier.issn1072-6691
dc.identifier.scopus2-s2.0-85100448244
dc.identifier.scopusqualityQ3
dc.identifier.startpage1en_US
dc.identifier.urihttps://hdl.handle.net/11468/25282
dc.identifier.volume2021en_US
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherTexas State University - San Marcosen_US
dc.relation.ispartofElectronic Journal of Differential Equations
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBlow Upen_US
dc.subjectGlobal Solutionen_US
dc.subjectPetrovsky Equationen_US
dc.subjectVariable-Exponent Nonlinearitiesen_US
dc.titleExistence and blow up of solutions for a strongly damped petrovsky equation with variable-exponent nonlinearitiesen_US
dc.titleExistence and blow up of solutions for a strongly damped petrovsky equation with variable-exponent nonlinearities
dc.typeArticleen_US

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