Title of article
Energy decay for the linear Klein–Gordon equation and boundary control
Author/Authors
Nunes، نويسنده , , R.S.O. and Bastos، نويسنده , , W.D.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2014
Pages
11
From page
934
To page
944
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 .
Keywords
Boundary controllability , Energy decay , Exact controllability , Klein–Gordon equation
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2014
Journal title
Journal of Mathematical Analysis and Applications
Record number
1564430
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