dc.creator | Ma, To Fu | es |
dc.creator | Marín Rubio, Pedro | es |
dc.creator | Surco Chuño, Christian Manuel | es |
dc.date.accessioned | 2019-03-12T07:57:44Z | |
dc.date.available | 2019-03-12T07:57:44Z | |
dc.date.issued | 2017-03-05 | |
dc.identifier.citation | Ma, T.F., Marín Rubio, P. y Surco Chuño, C.M. (2017). Dynamics of wave equations with moving boundary. Journal of Differential Equations, 262 (5), 3317-3342. | |
dc.identifier.issn | 0022-0396 | es |
dc.identifier.uri | https://hdl.handle.net/11441/84150 | |
dc.description.abstract | This paper is concerned with long-time dynamics of weakly damped semilinear wave equations defined on domains with moving boundary. Since the boundary is a function of the time variable the problem is intrinsically non-autonomous. Under the hypothesis that the lateral boundary is time-like, the solution operator of the problem generates an evolution process U(t, τ ) : Xτ → Xt, where Xt are timedependent Sobolev spaces. Then, by assuming the domains are expanding, we establish the existence of minimal pullback attractors with respect to a universe of tempered sets defined by the forcing terms. Our assumptions allow nonlinear perturbations with critical growth and unbounded time-dependent external forces. | es |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico | es |
dc.description.sponsorship | Ministerio de Educación | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Differential Equations, 262 (5), 3317-3342. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Wave equation | es |
dc.subject | Non-cylindrical domain | es |
dc.subject | Non-autonomous system | es |
dc.subject | Pullback attractor | es |
dc.subject | Critical exponent | es |
dc.title | Dynamics of wave equations with moving boundary | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | 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.projectID | 310041/2015-5 | es |
dc.relation.projectID | PHB2010-0002-PC | es |
dc.relation.projectID | MTM2015-63723-P | es |
dc.relation.publisherversion | https://ac.els-cdn.com/S0022039616304399/1-s2.0-S0022039616304399-main.pdf?_tid=15af800f-1ec3-472d-8a95-1333256d3eab&acdnat=1552377349_82d006c2fe81814019ce4a6060350095 | es |
dc.identifier.doi | 10.1016/j.jde.2016.11.030 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
idus.format.extent | 25 p. | es |
dc.journaltitle | Journal of Differential Equations | es |
dc.publication.volumen | 262 | es |
dc.publication.issue | 5 | es |
dc.publication.initialPage | 3317 | es |
dc.publication.endPage | 3342 | es |