dc.creator | Zhao, Caidi | es |
dc.creator | Jiang, Huite | es |
dc.creator | Caraballo Garrido, Tomás | es |
dc.date.accessioned | 2021-08-06T10:18:37Z | |
dc.date.available | 2021-08-06T10:18:37Z | |
dc.date.issued | 2021-04-05 | |
dc.identifier.citation | Zhao, C., Jiang, H. y Caraballo Garrido, T. (2021). Statistical solutions and piecewise Liouville theorem for the impulsive reaction-diffusion equations on in nite lattices. Applied Mathematics and Computation, 404 (Septiembre), 126103-1-126103-19. | |
dc.identifier.issn | 0096-3003 | es |
dc.identifier.uri | https://hdl.handle.net/11441/116649 | |
dc.description.abstract | We first verify the global well-posedness of the impulsive reaction-diffusion equations on infinite lattices. Then we establish that the generated process by the solution operators has a pullback attractor and a family of Borel invariant probability measures. Furthermore, we formulate the definition of statistical solution for the addressed impulsive system and prove the existence. Our results show that the statistical solution of the impulsive system satisfies merely the Liouville type theorem piecewise, and the Liouville type equation for impulsive system will not always hold true on the interval containing any impulsive point. | es |
dc.format | application/pdf | es |
dc.format.extent | 19 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Applied Mathematics and Computation, 404 (Septiembre), 126103-1-126103-19. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Statistical solution | es |
dc.subject | Impulsive lattice system | es |
dc.subject | Reaction-diffusion equation | es |
dc.subject | Piecewise Liouville theorem | es |
dc.subject | Pullback attractor | es |
dc.title | Statistical solutions and piecewise Liouville theorem for the impulsive reaction-diffusion equations on in nite lattices | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
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://doi.org/10.1016/j.amc.2021.126103 | es |
dc.identifier.doi | 10.1016/j.amc.2021.126103 | es |
dc.contributor.group | Universidad de Sevilla FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
dc.journaltitle | Applied Mathematics and Computation | es |
dc.publication.volumen | 404 | es |
dc.publication.issue | Septiembre | es |
dc.publication.initialPage | 126103-1 | es |
dc.publication.endPage | 126103-19 | es |