On the uniqueness of the continuation for a thermoelasticity system (Q2753559)
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scientific article; zbMATH DE number 1670362
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the uniqueness of the continuation for a thermoelasticity system |
scientific article; zbMATH DE number 1670362 |
Statements
11 November 2001
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lateral Cauchy problem
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Carleman estimates
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thermal effects in plates
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On the uniqueness of the continuation for a thermoelasticity system (English)
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The author deals with the lateral Cauchy problem for a thermoelasticity system, descibing combined elastic and thermal effects in plates. The system is strongly coupled and has an ``upper triangular'' principal structure. Sufficient conditions are given for uniqueness by combining new Carleman estimates with additional large parameter \(\lambda\) for the Laplace, wave, and heat equation. These estimates are derived by applying differential quadratic forms. The idea of the additional parameter \(\lambda\) can be used for other systems with ``triangular'' principal structure. The results can be applied to control theory and inverse problems.
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