Thresholds for global existence and blow-up in a general class of doubly dispersive nonlocal wave equations
dc.contributor.author | Erbay, Hüsnü Ata | |
dc.contributor.author | Erbay, Saadet | |
dc.contributor.author | Erkip, A. | |
dc.date.accessioned | 2014-06-25T12:54:22Z | |
dc.date.available | 2014-06-25T12:54:22Z | |
dc.date.issued | 2014-01 | |
dc.identifier.issn | 0362-546X | |
dc.identifier.uri | http://hdl.handle.net/10679/381 | |
dc.identifier.uri | http://www.sciencedirect.com/science/article/pii/S0362546X13003192 | |
dc.description.abstract | In 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.sponsorship | TÜBİTAK | |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier | en_US |
dc.relation | info:turkey/grantAgreement/TUBITAK/110R002 | en_US |
dc.relation.ispartof | Nonlinear Analysis: Theory, Methods & Applications | |
dc.rights | openAccess | |
dc.title | Thresholds for global existence and blow-up in a general class of doubly dispersive nonlocal wave equations | en_US |
dc.type | Article | en_US |
dc.description.version | pre-print | |
dc.peerreviewed | yes | en_US |
dc.publicationstatus | published | en_US |
dc.contributor.department | Özyeğin 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.ozuauthor | Erbay, Hüsnü Ata | |
dc.contributor.ozuauthor | Erbay, Saadet | |
dc.identifier.volume | 94 | |
dc.identifier.startpage | 313 | |
dc.identifier.endpage | 322 | |
dc.identifier.wos | WOS:000327483600025 | |
dc.identifier.doi | 10.1016/j.na.2013.09.013 | |
dc.subject.keywords | Nonlocal Cauchy problem | en_US |
dc.subject.keywords | Global existence | en_US |
dc.subject.keywords | Blow-up | en_US |
dc.subject.keywords | Potential well | en_US |
dc.subject.keywords | Boussinesq equation | en_US |
dc.subject.keywords | Double dispersion equation | en_US |
dc.identifier.scopus | SCOPUS:2-s2.0-84885158143 | |
dc.contributor.authorMale | 1 | |
dc.contributor.authorFemale | 1 | |
dc.relation.publicationcategory | Article - International Refereed Journal - Institutional Academic Staff |
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