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

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Abstract

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.

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  • CRID
    1390283659857050112
  • NII Article ID
    10021089654
  • NII Book ID
    AA1150654X
  • DOI
    10.32219/isms.67.3_337
  • ISSN
    13460447
  • Text Lang
    en
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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