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

Artículos de revistas

Fecha

2014-06-15

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

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

10.1016/j.jmaa.2014.01.053

WOS:000334651500029

6294876435136954

Autor

Universidade Federal de Mato Grosso (UFMT)

Universidade Estadual Paulista (Unesp)

Institución

Universidade Estadual Paulista (Brasil)

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.

Materias

Klein-Gordon equation

Energy decay

Exact controllability

Boundary controllability

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