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Identification of constant parameters in perturbed sine-Gordon equations

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Abstract

We study the identification problems of constant parametersappearing in the perturbed sine-Gordon equation with the Neumannboundary condition. The existence of optimal parameters is proved,and necessary conditions are established for several types ofobservations by utilizing quadratic optimal control theory due toLions [ref{Lions:op}].

참고문헌 (14)

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  13. "The sine-Gordon equation in the finite line", 124(1), pp.45~93 (2001)
  14. "Infinite-Dimensional Dynamical Systems in Mechanicsand Physics" (1988), Springer-Verlag

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