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Artículo
Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions
dc.creator | González Burgos, Manuel | es |
dc.creator | Ouaili, Lydia | es |
dc.date.accessioned | 2024-01-23T09:52:38Z | |
dc.date.available | 2024-01-23T09:52:38Z | |
dc.date.issued | 2023-08-01 | |
dc.identifier.citation | González Burgos, M. y Ouaili, L. (2023). Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions. Evolution Equations and Control Theory (EECT), 13 (1), 215-279. https://doi.org/10.3934/eect.2023044. | |
dc.identifier.issn | 2163-2480 | es |
dc.identifier.uri | https://hdl.handle.net/11441/153806 | |
dc.description.abstract | The general goal of this work is to obtain upper and lower bounds for the -norm of biorthogonal families to complex exponential functions associated to sequences which satisfy appropriate assumptions but without imposing a gap condition on the elements of the sequence. As a consequence, we also present new results on the cost of the boundary null controllability of two parabolic systems at time : a phase-field system and a parabolic system whose generator has eigenvalues that accumulate. In the latter case, the behavior of the control cost when goes to zero depends strongly on the accumulation parameter of the eigenvalue sequence. | es |
dc.format | application/pdf | es |
dc.format.extent | 65 p. | es |
dc.language.iso | eng | es |
dc.publisher | AIMS | es |
dc.relation.ispartof | Evolution Equations and Control Theory (EECT), 13 (1), 215-279. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Non scalar parabolic systems | es |
dc.subject | null controllability | es |
dc.subject | moment problem | es |
dc.subject | biorthogonal families | es |
dc.subject | no gap conditions | es |
dc.subject | control cost | es |
dc.title | Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/acceptedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.publisherversion | https://dx.doi.org/10.3934/eect.2023044 | es |
dc.identifier.doi | 10.3934/eect.2023044 | es |
dc.contributor.group | Universidad de Sevilla. FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software | es |
dc.journaltitle | Evolution Equations and Control Theory (EECT) | es |
dc.publication.volumen | 13 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 215 | es |
dc.publication.endPage | 279 | es |
Ficheros | Tamaño | Formato | Ver | Descripción |
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Art. 4.pdf | 650.0Kb | [PDF] | Ver/ | |