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Linear dynamics of semigroups generated by differential operators
dc.contributor.author | Conejero, J. Alberto | |
dc.contributor.author | Lizama, Carlos | |
dc.contributor.author | murillo arcila, marina | |
dc.contributor.author | Peris, A. | |
dc.date.accessioned | 2017-09-13T11:40:16Z | |
dc.date.available | 2017-09-13T11:40:16Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | 2391-5455 | |
dc.identifier.uri | http://hdl.handle.net/10234/168718 | |
dc.description.abstract | 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. | ca_CA |
dc.format.extent | 23 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | De Gruyter | ca_CA |
dc.relation.isPartOf | Open Math. 2017; 15 | ca_CA |
dc.rights | © 2017 Conejero et al., published by De Gruyter Open. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 License. | ca_CA |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Hypercyclicity | ca_CA |
dc.subject | Topological transitivity | ca_CA |
dc.subject | Topologically mixing property | ca_CA |
dc.subject | Devaney chaos | ca_CA |
dc.subject | C0-semigroups | ca_CA |
dc.title | Linear dynamics of semigroups generated by differential operators | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1515/math-2017-0065 | |
dc.relation.projectID | FEDER/MTM201675963-P ; CONICYT under FONDECYT/1140258 ; CONICYT-PIA-Anillo/ACT1416 | ca_CA |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | https://www.degruyter.com/view/j/math.2017.15.issue-1/math-2017-0065/math-2017-0065.xml?rskey=NIw3h8&result=1&q=Linear+dynamics+of+semigroups+generated+by+differential+operators | ca_CA |
dc.contributor.funder | MINECO | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion | ca_CA |
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