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dc.contributor.authorErbay, Hüsnü Ata
dc.contributor.authorErbay, Saadet
dc.contributor.authorErkip, A.
dc.date.accessioned2014-06-25T12:54:22Z
dc.date.available2014-06-25T12:54:22Z
dc.date.issued2014-01
dc.identifier.issn0362-546X
dc.identifier.urihttp://hdl.handle.net/10679/381
dc.identifier.urihttp://www.sciencedirect.com/science/article/pii/S0362546X13003192
dc.description.abstractIn this paper we study the global existence and blow-up of solutions for a general class of nonlocal nonlinear wave equations with power-type nonlinearities, View the MathML source, where the nonlocality enters through two pseudo-differential operators L and B. We establish thresholds for global existence versus blow-up using the potential well method which relies essentially on the ideas suggested by Payne and Sattinger. Our results improve the global existence and blow-up results given in the literature for the present class of nonlocal nonlinear wave equations and cover those given for many well-known nonlinear dispersive wave equations such as the so-called double-dispersion equation and the traditional Boussinesq-type equations, as special cases.en_US
dc.description.sponsorshipTÜBİTAK
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.relationinfo:turkey/grantAgreement/TUBITAK/110R002en_US
dc.relation.ispartofNonlinear Analysis: Theory, Methods & Applications
dc.rightsopenAccess
dc.titleThresholds for global existence and blow-up in a general class of doubly dispersive nonlocal wave equationsen_US
dc.typeArticleen_US
dc.description.versionpre-print
dc.peerreviewedyesen_US
dc.publicationstatuspublisheden_US
dc.contributor.departmentÖzyeğin University
dc.contributor.authorID(ORCID 0000-0002-5167-609X & YÖK ID 119316) Erbay, Hüsnü Ata
dc.contributor.authorID(ORCID 0000-0002-6080-4591 & YÖK ID 119313) Erbay, Saadet
dc.contributor.ozuauthorErbay, Hüsnü Ata
dc.contributor.ozuauthorErbay, Saadet
dc.identifier.volume94
dc.identifier.startpage313
dc.identifier.endpage322
dc.identifier.wosWOS:000327483600025
dc.identifier.doi10.1016/j.na.2013.09.013
dc.subject.keywordsNonlocal Cauchy problemen_US
dc.subject.keywordsGlobal existenceen_US
dc.subject.keywordsBlow-upen_US
dc.subject.keywordsPotential wellen_US
dc.subject.keywordsBoussinesq equationen_US
dc.subject.keywordsDouble dispersion equationen_US
dc.identifier.scopusSCOPUS:2-s2.0-84885158143
dc.contributor.authorMale1
dc.contributor.authorFemale1
dc.relation.publicationcategoryArticle - International Refereed Journal - Institutional Academic Staff


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