Unique continuation for systems with Lamé principal part (Q2747409)
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scientific article; zbMATH DE number 1657721
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unique continuation for systems with Lamé principal part |
scientific article; zbMATH DE number 1657721 |
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Unique continuation for systems with Lamé principal part (English)
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13 June 2002
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differential form
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linear isotropic elasticity
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Lamé operator
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perturbation
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unique continuation
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0.9156038
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0.91127765
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0.9088456
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0.9013222
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0.89424103
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0.8883172
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0.8844675
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0.8784421
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Unique continuation results for the solutions to the homogeneous systems of elasticity are proven. The Lamé-system with a first-order perturbation is considered. The known unique continuation theorem of the Lamé operator with \(C^3\)-coefficients perturbed by a zero-order differential (matrix) operator is extended to the case when the perturbations are given by a first-order differential operator. The presented proof is based on weighted \(L^2\)-inequalities. A proof of unique continuation for the generalized Lamé operator in connection with the alternating differential form is also given.
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