PARAMETER IDENTIFICATION PROBLEMS FOR A CLASS OF STRONGLY DAMPED NONLINEAR WAVE EQUATIONS

S. Nakagiri; J-H. Ha; J. Vanualailai

doi:10.32219/isms.67.3_337

著者情報

キーワード: Damped-wave equations, Identification problem, Optimal parameter, Necessary optimality condition, Gâteaux differentiability

ジャーナルフリー

2008 年 67 巻 3 号 p. 337-352

DOI https://doi.org/10.32219/isms.67.3_337

詳細

抄録

Parameter identification problems of spatially varying coefficients in a class of strongly damped nonlinear wave equations are studied. The problems are formulated by a minimization of quadratic cost functionals by means of distributive and terminal values measurements. The existence of optimal parameters and necessary optimality conditions for the functionals are proved by the continuity and Gˆateaux differentiability of solutions on parameters.

責任著者(Corresponding author)

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