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Linear dynamics of semigroups generated by differential operators

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Linear dynamics of semigroups generated by differential operators

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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.contributor.author Peris Manguillot, Alfredo es_ES
dc.date.accessioned 2020-09-12T03:34:49Z
dc.date.available 2020-09-12T03:34:49Z
dc.date.issued 2017-06-09 es_ES
dc.identifier.uri http://hdl.handle.net/10251/149946
dc.description.abstract [EN] During the last years, several notions have been introduced for describing the dynamical behavior of linear operators on infinite-dimensional spaces, such as hypercyclicity, chaos in the sense of Devaney, chaos in the sense of Li-Yorke, subchaos, mixing and weakly mixing properties, and frequent hypercyclicity, among others. These notions have been extended, as far as possible, to the setting of C0-semigroups of linear and continuous operators. We will review some of these notions and we will discuss basic properties of the dynamics of C0-semigroups. We will also study in detail the dynamics of the translation C0-semigroup on weighted spaces of integrable functions and of continuous functions vanishing at infinity. Using the comparison lemma, these results can be transferred to the solution C0-semigroups of some partial differential equations. Additionally, we will also visit the chaos for infinite systems of ordinary differential equations, that can be of interest for representing birth-and-death process or car-following traffic models. es_ES
dc.description.sponsorship The first, third and fourth authors were supported by MINECO and FEDER, grant MTM2016-75963-P. The second author has been partially supported by CONICYT under FONDECYT grant number 1140258 and CONICYT-PIA-Anillo ACT1416. es_ES
dc.language Inglés es_ES
dc.publisher De Gruyter Open es_ES
dc.relation.ispartof Open Mathematics es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Hypercyclicity es_ES
dc.subject Topological transitivity es_ES
dc.subject Topologically mixing property es_ES
dc.subject Devaney chaos es_ES
dc.subject C0-semigroups es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Linear dynamics of semigroups generated by differential operators es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1515/math-2017-0065 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.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2016-75963-P/ES/DINAMICA DE OPERADORES/ 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.; Peris Manguillot, A. (2017). Linear dynamics of semigroups generated by differential operators. Open Mathematics. 15(1):745-767. https://doi.org/10.1515/math-2017-0065 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1515/math-2017-0065 es_ES
dc.description.upvformatpinicio 745 es_ES
dc.description.upvformatpfin 767 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 15 es_ES
dc.description.issue 1 es_ES
dc.identifier.eissn 2391-5455 es_ES
dc.relation.pasarela S\353119 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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