Energy decay for the linear Klein-Gordon equation and boundary control
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Undergraduate course
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Elsevier B.V.
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Article
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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.
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Keywords
Klein-Gordon equation, Energy decay, Exact controllability, Boundary controllability
Language
English
Citation
Journal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 414, n. 2, p. 934-944, 2014.
