Exponential stability for the nonlinear Schrödinger equation with locally distributed damping
dc.authorid | 0000-0001-5638-3272 | en_US |
dc.authorid | 0000-0003-4240-5252 | en_US |
dc.contributor.author | Cavalcanti, Marcelo M. | |
dc.contributor.author | Correa, Wellington J. | |
dc.contributor.author | Özsarı, Turker | |
dc.contributor.author | Sepulveda, Mauricio | |
dc.contributor.author | Vejar Asem, Rodrigo | |
dc.date.accessioned | 2024-07-12T20:49:33Z | |
dc.date.available | 2024-07-12T20:49:33Z | |
dc.date.issued | 2019 | en_US |
dc.department | Fakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | This 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.citation | Cavalcanti, 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.endpage | 6 | en_US |
dc.identifier.isbn | 978-605-2124-29-1 | |
dc.identifier.startpage | 6 | en_US |
dc.identifier.uri | https://hdl.handle.net/20.500.12415/2184 | |
dc.language.iso | en | en_US |
dc.publisher | Maltepe Üniversitesi | en_US |
dc.relation.ispartof | International Conference of Mathematical Sciences (ICMS 2019) | en_US |
dc.relation.publicationcategory | Uluslararası Konferans Öğesi - Başka Kurum Yazarı | en_US |
dc.rights | CC0 1.0 Universal | * |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
dc.snmz | KY01549 | |
dc.subject | Schrödinger equation | en_US |
dc.subject | Exponential stability | en_US |
dc.subject | Locally distributed damping | en_US |
dc.title | Exponential stability for the nonlinear Schrödinger equation with locally distributed damping | en_US |
dc.type | Article | |
dspace.entity.type | Publication |