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Stability estimate for the semi-discrete linearized Benjamin-Bona-Mahony equation

Authordc.contributor.authorLecaros, Rodrigo
Authordc.contributor.authorOrtega Palma, Jaime Humberto
Authordc.contributor.authorPérez, Ariel
Admission datedc.date.accessioned2021-12-21T20:27:36Z
Available datedc.date.available2021-12-21T20:27:36Z
Publication datedc.date.issued2021
Cita de ítemdc.identifier.citationEsaim: COCV 27 (2021) 93es_ES
Identifierdc.identifier.other10.1051/cocv/2021087
Identifierdc.identifier.urihttps://repositorio.uchile.cl/handle/2250/183336
Abstractdc.description.abstractIn this work we study the semi-discrete linearized Benjamin-Bona-Mahony equation (BBM) which is a model for propagation of one-dimensional, unidirectional, small amplitude long waves in non-linear dispersive media. In particular, we derive a stability estimate which yields a unique continuation property. The proof is based on a Carleman estimate for a finite difference approximation of Laplace operator with boundary observation in which the large parameter is connected to the mesh size.es_ES
Lenguagedc.language.isoenes_ES
Publisherdc.publisherEDP Scienceses_ES
Type of licensedc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
Link to Licensedc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
Sourcedc.sourceEsaim-Control Optimisation and Calculus of Variationses_ES
Keywordsdc.subjectBenjamin-Bona-Mahony equationes_ES
Keywordsdc.subjectUnique continuation propertyes_ES
Keywordsdc.subjectCarleman estimate discretees_ES
Keywordsdc.subjectCarleman inequalitieses_ES
Keywordsdc.subjectDispersive equationses_ES
Keywordsdc.subjectWater wave equationes_ES
Keywordsdc.subjectFinite difference methodes_ES
Keywordsdc.subjectSemi-discrete equationses_ES
Títulodc.titleStability estimate for the semi-discrete linearized Benjamin-Bona-Mahony equationes_ES
Document typedc.typeArtículo de revistaes_ES
dc.description.versiondc.description.versionVersión publicada - versión final del editores_ES
dcterms.accessRightsdcterms.accessRightsAcceso abiertoes_ES
Catalogueruchile.catalogadorcrbes_ES
Indexationuchile.indexArtículo de publícación WoSes_ES


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Attribution-NonCommercial-NoDerivs 3.0 United States
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