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Chaotic semigroups from second order partial differential equations

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Chaotic semigroups from second order partial differential equations

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dc.contributor.author Conejero, J. Alberto es_ES
dc.contributor.author Lizama, Carlos es_ES
dc.contributor.author Murillo Arcila, Marina es_ES
dc.date.accessioned 2020-07-31T03:31:28Z
dc.date.available 2020-07-31T03:31:28Z
dc.date.issued 2017-12-01 es_ES
dc.identifier.issn 0022-247X es_ES
dc.identifier.uri http://hdl.handle.net/10251/149082
dc.description.abstract [EN] We give general conditions on given parameters to ensure Devaney and distributional chaos for the solution C-0-semigroup corresponding to a class of second-order partial differential equations. We also provide a critical parameter that led us to distinguish between stability and chaos for these semigroups. In the case of chaos, we prove that the Co-semigroup admits a strongly mixing measure with full support. We also give concrete examples of partial differential equations, such as the telegraph equation, whose solutions satisfy these properties. (C) 2017 Elsevier Inc. All rights reserved. es_ES
dc.description.sponsorship The first and third authors are supported in part by MINECO and FEDER, grant MTM2016-75963-P. The second author is partially supported by CONICYT, under Fondecyt Grant number 1140258 and CONICYT-PIA, Anillo ACT1416. es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Journal of Mathematical Analysis and Applications es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Devaney chaos es_ES
dc.subject Hypercyclicity es_ES
dc.subject C-0-semigroups es_ES
dc.subject Dynamics of C-0-semigroups es_ES
dc.subject Telegraph equation es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Chaotic semigroups from second order partial differential equations es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.jmaa.2017.07.013 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2016-75963-P/ES/DINAMICA DE OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/CONICYT//1140258/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/CONICYT//Anillo ACT1416/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Conejero, JA.; Lizama, C.; Murillo Arcila, M. (2017). Chaotic semigroups from second order partial differential equations. Journal of Mathematical Analysis and Applications. 456(1):402-411. https://doi.org/10.1016/j.jmaa.2017.07.013 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.jmaa.2017.07.013 es_ES
dc.description.upvformatpinicio 402 es_ES
dc.description.upvformatpfin 411 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 456 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\353112 es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.contributor.funder Comisión Nacional de Investigación Científica y Tecnológica, Chile es_ES


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