Indirect boundary observability of a weakly coupled wave system (Q2767598)
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scientific article; zbMATH DE number 1697743
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Indirect boundary observability of a weakly coupled wave system |
scientific article; zbMATH DE number 1697743 |
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13 November 2002
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coupled system of wave equations
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indirect boundary observability
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uniqueness theorem
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exact controllability
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0.9144263
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0.90305436
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0.89463747
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0.8857371
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0.8850359
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0.8833536
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0.88317645
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0.8821817
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Indirect boundary observability of a weakly coupled wave system (English)
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This paper studies the indirect boundary observability of a coupled system of two wave equations. It has been proven that for a sufficiently long time, the observation of the trace of the normal derivative of the first component of the solution on a part of the boundary allows us to get back a weakened energy of the initial data, if the coupling parameter is small but non vanishing. The result allows us to obtain a new uniqueness theorem as well as an indirect exact controllability result.
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