Conejero, JA.; Kostic, M.; Miana Sanz, PJ.; Murillo Arcila, M. (2016). Distributionally chaotic families of operators on Fréchet spaces. Communications on Pure and Applied Analysis. 15(5):1915-1939. https://doi.org/10.3934/cpaa.2016022
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/82721
Título:
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Distributionally chaotic families of operators on Fréchet spaces
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Autor:
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Conejero, J. Alberto
Kostic, Marco
Miana Sanz, Pedro Jose
Murillo Arcila, Marina
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Entidad UPV:
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Universitat Politècnica de València. Escola Tècnica Superior d'Enginyeria Informàtica
Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
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Fecha difusión:
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Resumen:
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The existence of distributional chaos and distributional irregular vectors has been recently considered in the study of linear dynamics of operators and C-0-semigroups. In this paper we extend some previous results on both ...[+]
The existence of distributional chaos and distributional irregular vectors has been recently considered in the study of linear dynamics of operators and C-0-semigroups. In this paper we extend some previous results on both notions to sequences of operators, C-0-semigroups, C-regularized semigroups, and alpha-timesintegrated semigroups on Frechet spaces. We also add a study of rescaled distributionally chaotic C-0-semigroups. Some examples are provided to illustrate all these results.
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Palabras clave:
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Distributional chaos
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Integrated semigroups
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C-regularized semigroups
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Cosine functions
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Abstract time-fractional equations
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Hypercyclicity
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Well-posedness
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Fréchet spaces
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Derechos de uso:
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Reserva de todos los derechos
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Fuente:
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Communications on Pure and Applied Analysis. (issn:
1534-0392
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DOI:
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10.3934/cpaa.2016022
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Editorial:
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American Institute of Mathematical Sciences (AIMS)
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Versión del editor:
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http://dx.doi.org/10.3934/cpaa.2016022
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Código del Proyecto:
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info:eu-repo/grantAgreement/MICINN//MTM2010-14909/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/
...[+]
info:eu-repo/grantAgreement/MICINN//MTM2010-14909/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/
info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174024/RS/Methods of Functional and Harmonic Analysis and PDE with Singularities/
info:eu-repo/grantAgreement/MINECO//MTM2013-47093-P/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/
info:eu-repo/grantAgreement/UPV//SP20120700/
info:eu-repo/grantAgreement/MINECO//MTM2013-42105-P/ES/TEORIA DE OPERADORES Y GEOMETRIA EN ANALISIS/
info:eu-repo/grantAgreement/UNIZAR//UZCUD2014-CIE-09/
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Descripción:
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This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Communications on Pure and Applied Analysis (CPAA) following peer review. The definitive publisher-authenticated version Conejero, J. A., Kostić, M., Miana, P. J., & Murillo-Arcila, M. (2016). Distributionally chaotic families of operators on Fréchet spaces.Communications on Pure and Applied Analysis, 2016, vol. 15, no 5, p. 1915-1939, is available online at: http://dx.doi.org/10.3934/cpaa.2016022
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Agradecimientos:
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The first and fourth authors are supported in part by MEC Project MTM2010-14909, MTM2013-47093-P, and Programa de Investigacion y Desarrollo de la UPV, Ref. SP20120700. The second author is partially supported by grant ...[+]
The first and fourth authors are supported in part by MEC Project MTM2010-14909, MTM2013-47093-P, and Programa de Investigacion y Desarrollo de la UPV, Ref. SP20120700. The second author is partially supported by grant 174024 of Ministry of Science and Technological Development, Republic of Serbia. The third author has been partially supported by Project MTM2013-42105-P, DGI-FEDER, of the MCYTS; Project E-64, D.G. Aragon, and Project UZCUD2014-CIE-09, Universidad de Zaragoza. The fourth author is supported by a grant of the FPU Program of Ministry of education of Spain.
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Tipo:
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Artículo
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