Energy decay for the linear Klein-Gordon equation and boundary control


Autoria(s): Nunes, R. S. O.; Bastos, W. D.
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

03/12/2014

03/12/2014

15/06/2014

Resumo

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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.

Formato

934-944

Identificador

http://dx.doi.org/10.1016/j.jmaa.2014.01.053

Journal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 414, n. 2, p. 934-944, 2014.

0022-247X

http://hdl.handle.net/11449/112911

10.1016/j.jmaa.2014.01.053

WOS:000334651500029

Idioma(s)

eng

Publicador

Elsevier B.V.

Relação

Journal of Mathematical Analysis and Applications

Direitos

closedAccess

Palavras-Chave #Klein-Gordon equation #Energy decay #Exact controllability #Boundary controllability
Tipo

info:eu-repo/semantics/article