Exponential stability for the nonlinear Schrödinger equation with locally distributed damping

dc.authorid0000-0001-5638-3272en_US
dc.authorid0000-0003-4240-5252en_US
dc.contributor.authorCavalcanti, Marcelo M.
dc.contributor.authorCorrea, Wellington J.
dc.contributor.authorÖzsarı, Turker
dc.contributor.authorSepulveda, Mauricio
dc.contributor.authorVejar Asem, Rodrigo
dc.date.accessioned2024-07-12T20:49:33Z
dc.date.available2024-07-12T20:49:33Z
dc.date.issued2019en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis talk is concerned with the defocusing nonlinear Schr¨odinger equation with a locally distributed damping on a smooth bounded domain. We first construct approximate solutions for this model by using the theory of monotone operators. We show that these approximate solutions decay exponentially fast in the L 2 -sense by using the multiplier technique and a unique continuation property. Then, we prove the global existence as well as the L 2 -decay of solutions for the original model by passing to the limit and using a weak lower semicontinuity argument, respectively. Finally, we implement a precise and efficient algorithm for studying the exponential decay established in the first part of the paper numerically. Our simulations illustrate the efficacy of the proposed control design.en_US
dc.identifier.citationCavalcanti, M. M., Correa, W. J., Özsarı, T., Sepulveda, M., Vejar Asem, R. (2019). Exponential stability for the nonlinear Schrödinger equation with locally distributed damping. International Conference of Mathematical Sciences (ICMS 2019). s. 6.en_US
dc.identifier.endpage6en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage6en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2184
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciences (ICMS 2019)en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01549
dc.subjectSchrödinger equationen_US
dc.subjectExponential stabilityen_US
dc.subjectLocally distributed dampingen_US
dc.titleExponential stability for the nonlinear Schrödinger equation with locally distributed dampingen_US
dc.typeArticle
dspace.entity.typePublication

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