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PARAMETER IDENTIFICATION PROBLEMS FOR A CLASS OF STRONGLY DAMPED NONLINEAR WAVE EQUATIONS
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- Nakagiri S.
- Kobe University
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- Ha J-H.
- Korea University of Technology and Education
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- Vanualailai J.
- University of the South Pacific
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Description
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.
Journal
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- Scientiae Mathematicae Japonicae
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Scientiae Mathematicae Japonicae 67 (3), 337-352, 2008
International Society for Mathematical Sciences
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Keywords
Details 詳細情報について
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- CRID
- 1390283659857050112
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- NII Article ID
- 10021089654
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- NII Book ID
- AA1150654X
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- ISSN
- 13460447
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- Text Lang
- en
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- Data Source
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- JaLC
- CiNii Articles
- OpenAIRE
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- Abstract License Flag
- Disallowed