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http://dx.doi.org/10.4134/JKMS.2006.43.5.931

IDENTIFICATION OF CONSTANT PARAMETERS IN PERTURBED SINE-GORDON EQUATIONS  

Ha, Jun-Hong (School of Liberal Arts Korea University of Technology and Education)
Nakagiri, Shin-Ichi (Department of Applied Mathematics Faculty of Engineering, Kobe University)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.5, 2006 , pp. 931-950 More about this Journal
Abstract
We study the identification problems of constant parameters appearing in the perturbed sine-Gordon equation with the Neumann boundary condition. The existence of optimal parameters is proved, and necessary conditions are established for several types of observations by utilizing quadratic optimal control theory due to Lions [13].
Keywords
parameter identification problems; weak solutions; necessary conditions of optimality; perturbed sine-Gordon equations;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By Web Of Science : 1  (Related Records In Web of Science)
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