Well-posedness and blow-up of solutions for a variable exponent nonlinear petrovsky equation

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dc.authorid0000-0001-5615-9043en_US
dc.authorid0000-0001-6587-4479en_US
dc.authorid0000-0001-5971-7653en_US
dc.contributor.authorYılmaz, Nebi
dc.contributor.authorPişkin, Erhan
dc.contributor.authorÇelik, Ercan
dc.date.accessioned2024-03-21T11:31:22Z
dc.date.available2024-03-21T11:31:22Z
dc.date.issued2023en_US
dc.departmentDicle Üniversitesi, Fen Bilimleri Enstitüsü, Matematik Ana Bilim Dalıen_US
dc.description.abstractIn this article, we investigate a nonlinear Petrovsky equation with variable exponent and damping terms. First, we establish the local existence using the Faedo-Galerkin approximation method under the conditions of positive initial energy and appropriate constraints on the variable exponents p⋅ and q⋅. Finally, we prove a finite-time blow-up result for negative initial energy.en_US
dc.identifier.citationYılmaz, N., Pişkin, E. ve Çelik, E. (2023). Well-posedness and blow-up of solutions for a variable exponent nonlinear petrovsky equation. Advances in Mathematical Physics, 2023, 1-13.en_US
dc.identifier.doi10.1155/2023/8866861
dc.identifier.endpage13en_US
dc.identifier.issn1687-9120
dc.identifier.scopus2-s2.0-85179034058
dc.identifier.scopusqualityQ2
dc.identifier.startpage1en_US
dc.identifier.urihttps://www.hindawi.com/journals/amp/2023/8866861/
dc.identifier.urihttps://hdl.handle.net/11468/13671
dc.identifier.volume2023en_US
dc.identifier.wosWOS:001112438200001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorYılmaz, Nebi
dc.institutionauthorPişkin, Erhan
dc.language.isoenen_US
dc.publisherHindawi Limiteden_US
dc.relation.ispartofAdvances in Mathematical Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectWell-posednessen_US
dc.subjectNonlinear petrovsky equationen_US
dc.titleWell-posedness and blow-up of solutions for a variable exponent nonlinear petrovsky equationen_US
dc.titleWell-posedness and blow-up of solutions for a variable exponent nonlinear petrovsky equation
dc.typeArticleen_US

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