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dc.contributor.authorKalantarov, Varga K.
dc.contributor.authorÖzsarı, Türker
dc.date.accessioned2017-08-16T11:54:21Z
dc.date.available2017-08-16T11:54:21Z
dc.date.issued2016-02-01
dc.identifier.citationKalantarov, V. K.., and Özsarı, T. (2016). Qualitative properties of solutions for nonlinear Schrödinger equations with nonlinear boundary conditions on the half-line. Journal of Mathematical Physics, 57(2). doi:10.1063/1.4941459en_US
dc.identifier.issn0022-2488
dc.identifier.urihttp://doi.org/10.1063/1.4941459
dc.identifier.urihttp://hdl.handle.net/11147/6133
dc.description.abstractIn this paper, we study the interaction between a nonlinear focusing Robin type boundary source, a nonlinear defocusing interior source, and a weak damping term for nonlinear Schrödinger equations posed on the infinite half-line. We construct solutions with negative initial energy satisfying a certain set of conditions which blow-up in finite time in the H1-sense. We obtain a sufficient condition relating the powers of nonlinearities present in the model which allows construction of blow-up solutions. In addition to the blow-up property, we also discuss the stabilization property and the critical exponent for this model.en_US
dc.description.sponsorshipIzmir Institute of Technology through BAP Grant (2015IYTE43)en_US
dc.language.isoengen_US
dc.publisherAmerican Institute of Physics Publishingen_US
dc.relation.isversionof10.1063/1.4941459en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectNonlinear Schrödinger equationen_US
dc.titleQualitative properties of solutions for nonlinear Schrödinger equations with nonlinear boundary conditions on the half-lineen_US
dc.typearticleen_US
dc.contributor.authorIDTR124050en_US
dc.contributor.iztechauthorÖzsarı, Türker
dc.relation.journalJournal of Mathematical Physicsen_US
dc.contributor.departmentİYTE, Fen Fakültesi, Matematik Bölümüen_US
dc.identifier.volume57en_US
dc.identifier.issue2en_US
dc.identifier.wosWOS:000371620000012
dc.identifier.scopusSCOPUS:2-s2.0-84958793689
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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