Artigo
Energy decay for the linear Klein-Gordon equation and boundary control
Registro en:
Journal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 414, n. 2, p. 934-944, 2014.
0022-247X
10.1016/j.jmaa.2014.01.053
WOS:000334651500029
6294876435136954
Autor
Nunes, R. S. O.
Bastos, W. D. [UNESP]
Resumen
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. Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) UFMT Fed Univ Mato Grosso, ICET, Dept Math, BR-78060900 Cuiaba, MT, Brazil UNESP Sao Paulo State Univ, IBILCE, Dept Math, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil UNESP Sao Paulo State Univ, IBILCE, Dept Math, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil CAPES: 33004153071P-0