Energy decay for the linear Klein-Gordon equation and boundary control
| dc.contributor.author | Nunes, R. S. O. | |
| dc.contributor.author | Bastos, W. D. [UNESP] | |
| dc.contributor.institution | Universidade Federal de Mato Grosso (UFMT) | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.date.accessioned | 2014-12-03T13:11:09Z | |
| dc.date.available | 2014-12-03T13:11:09Z | |
| dc.date.issued | 2014-06-15 | |
| dc.description.abstract | In this work we study the asymptotic behavior of the solutions of the linear Klein Gordon equation in R-N, N >= 1. We prove that local energy of solutions to the Cauchy problem decays polynomially. Afterwards, we use the local decay of energy to study exact boundary controllability for the linear Klein Gordon equation in general bounded domains of R-N, N >= 1. (c) 2014 Elsevier Inc. All rights reserved. | en |
| dc.description.affiliation | UFMT Fed Univ Mato Grosso, ICET, Dept Math, BR-78060900 Cuiaba, MT, Brazil | |
| dc.description.affiliation | UNESP Sao Paulo State Univ, IBILCE, Dept Math, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil | |
| dc.description.affiliationUnesp | UNESP Sao Paulo State Univ, IBILCE, Dept Math, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil | |
| dc.description.sponsorship | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) | |
| dc.description.sponsorshipId | CAPES: 33004153071P-0 | |
| dc.format.extent | 934-944 | |
| dc.identifier | http://dx.doi.org/10.1016/j.jmaa.2014.01.053 | |
| dc.identifier.citation | Journal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 414, n. 2, p. 934-944, 2014. | |
| dc.identifier.doi | 10.1016/j.jmaa.2014.01.053 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.lattes | 6294876435136954 | |
| dc.identifier.uri | http://hdl.handle.net/11449/112911 | |
| dc.identifier.wos | WOS:000334651500029 | |
| dc.language.iso | eng | |
| dc.publisher | Elsevier B.V. | |
| dc.relation.ispartof | Journal of Mathematical Analysis and Applications | |
| dc.relation.ispartofjcr | 1.138 | |
| dc.rights.accessRights | Acesso restrito | |
| dc.source | Web of Science | |
| dc.subject | Klein-Gordon equation | en |
| dc.subject | Energy decay | en |
| dc.subject | Exact controllability | en |
| dc.subject | Boundary controllability | en |
| dc.title | Energy decay for the linear Klein-Gordon equation and boundary control | en |
| dc.type | Artigo | |
| dcterms.license | http://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy | |
| dcterms.rightsHolder | Elsevier B.V. | |
| unesp.author.lattes | 6294876435136954 | |
| unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Preto | pt |