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

Nunes, R. S. O.; Bastos, W. D.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/112911

Title:

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

Author(s):

Institution:

Universidade Federal de Mato Grosso (UFMT)
Universidade Estadual Paulista (UNESP)

ISSN:

0022-247X

Sponsorship:

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Sponsorship Process Number:

CAPES: 33004153071P-0

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.

Issue Date:

15-Jun-2014

Citation:

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

Time Duration:

934-944

Publisher:

Elsevier B.V.

Keywords:

Klein-Gordon equation
Energy decay
Exact controllability
Boundary controllability

Source:

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

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/112911

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