On a logarithmic wave equation with nonlinear dynamical boundary conditions: local existence and blow-up

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dc.authorid0000-0002-3735-393Xen_US
dc.authorid0000-0003-1308-2159en_US
dc.authorid0000-0001-6587-4479en_US
dc.contributor.authorIrkıl, Nazlı
dc.contributor.authorMahdi, Khaled
dc.contributor.authorPişkin, Erhan
dc.contributor.authorAlnegga, Mohammad
dc.contributor.authorBoulaaras, Salah
dc.date.accessioned2024-03-26T10:25:21Z
dc.date.available2024-03-26T10:25:21Z
dc.date.issued2023en_US
dc.departmentDicle Üniversitesi, Ziya Gökalp Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümüen_US
dc.description.abstractThis paper deals with a hyperbolic-type equation with a logarithmic source term and dynamic boundary condition. Given convenient initial data, we obtained the local existence of a weak solution. Local existence results of solutions are obtained using the Faedo-Galerkin method and the Schauder fixed-point theorem. Additionally, under suitable assumptions on initial data, the lower bound time of the blow-up result is investigated.en_US
dc.identifier.citationIrkıl, N., Mahdi, K., Pişkin, E., Alnegga, M. ve Boulaaras, S. (2023). On a logarithmic wave equation with nonlinear dynamical boundary conditions: local existence and blow-up. Journal of Inequalities and Applications, 2023(1), 1-23.en_US
dc.identifier.doi10.1186/s13660-023-03072-3
dc.identifier.endpage23en_US
dc.identifier.issn1025-5834
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85180167569
dc.identifier.scopusqualityQ1
dc.identifier.startpage1en_US
dc.identifier.urihttps://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-023-03072-3
dc.identifier.urihttps://hdl.handle.net/11468/13722
dc.identifier.volume2023en_US
dc.identifier.wosWOS:001127184300001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorPişkin, Erhan
dc.language.isoenen_US
dc.publisherInstitute for Ionicsen_US
dc.relation.ispartofJournal of Inequalities and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBlow-upen_US
dc.subjectDynamical boundary conditionen_US
dc.subjectExistenceen_US
dc.subjectLogarithmic nonlinearityen_US
dc.subjectMathematical operatorsen_US
dc.subjectPartial differential equationsen_US
dc.titleOn a logarithmic wave equation with nonlinear dynamical boundary conditions: local existence and blow-upen_US
dc.titleOn a logarithmic wave equation with nonlinear dynamical boundary conditions: local existence and blow-up
dc.typeArticleen_US

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