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Identification problems for the damped Klein-Gordon equations
Authors:Junhong Ha  Shin-ichi Nakagiri
Institution:a School of Liberal Arts, Korea University of Technology and Education, 307 Gajeon, Byungchun, Cheonan 330-708, South Korea
b Department of Applied Mathematics, Faculty of Engineering, Kobe University, Rokko, Nada, Kobe 657-8501, Japan
Abstract:In this paper we study the identification problems for the damped Klein-Gordon equation (KG). In particular, when the diffusion parameter of KG is unknown, we prove the existence of the optimal parameter and deduce the necessary conditions on the optimal parameter by using the transposition method.
Keywords:Damped Klein-Gordon equation  Identification problem  Transposition method
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