IDENTIFICATION OF CONSTANT PARAMETERS IN PERTURBED SINE-GORDON EQUATIONS

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 co...

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Bibliographic Details
Published inJournal of the Korean Mathematical Society Vol. 43; no. 5; pp. 931 - 950
Main Authors Ha, Jun-Hong, Nakagiri, Shin-Ichi
Format Journal Article
LanguageKorean
Published 대한수학회 01.09.2006
Subjects
수학
parameter identification problems
weak solutions
necessary conditions of optimality
perturbed sine-Gordon equations
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Summary: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].
Bibliography:KISTI1.1003/JNL.JAKO200606141791735
G704-000208.2006.43.5.011
ISSN:0304-9914
2234-3008