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

dc.authorid0000-0001-6587-4479en_US
dc.contributor.authorAntontsev, Stanislav
dc.contributor.authorFerreira, Jorge
dc.contributor.authorPişkin, Erhan
dc.date.accessioned2022-06-03T11:53:18Z
dc.date.available2022-06-03T11:53:18Z
dc.date.issued2021en_US
dc.departmentDicle Üniversitesi, Ziya Gökalp Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümüen_US
dc.descriptionWOS:000614070700001
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.en_US
dc.identifier.citationAntontsev, S., Ferreira, J, ve Pişkin, E. (2021). Existence and blow up of solutions for a strongly damped Petrovsky equation with variable-exponent nonlinearities. Electronic Journal of Differantial Equations.en_US
dc.identifier.issn1072-6691
dc.identifier.scopusScopusIdYok
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://hdl.handle.net/11468/9961
dc.identifier.wosWoSIDEksik
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorPişkin, Erhan
dc.language.isoenen_US
dc.publisherTexas State Universityen_US
dc.relation.ispartofElectronic Journal of Differantial Equations
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGlobal solutionen_US
dc.subjectBlow upen_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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