Article ID Journal Published Year Pages File Type
6418522 Journal of Mathematical Analysis and Applications 2014 11 Pages PDF
Abstract

In this work we study the asymptotic behavior of the solutions of the linear Klein-Gordon equation in RN, 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 RN, N⩾1.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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