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

• Nakagiri S.

  Kobe University

• Ha J-H.

  Korea University of Technology and Education

• Vanualailai J.

  University of the South Pacific

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.

収録刊行物

• Scientiae Mathematicae Japonicae

  Scientiae Mathematicae Japonicae 67 (3), 337-352, 2008

  一般社団法人 国際数理科学協会

キーワード

• Damped-wave equations
• Identification problem
• Optimal parameter
• Necessary optimality condition
• Gâteaux differentiability

詳細情報

• CRID: 1390283659857050112
• NII論文ID: 10021089654
• NII書誌ID: AA1150654X
• DOI: 10.32219/isms.67.3_337
• ISSN: 13460447
• 本文言語コード: en
• データソース種別:
  • JaLC
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可