Sur l'unicité rétrograde dans les problèmes mixtes paraboliques; cas de dimension 1. (Backward uniqueness in mixed parabolic problems; 1 dimensional case) (Q919187)
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scientific article; zbMATH DE number 4159234
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sur l'unicité rétrograde dans les problèmes mixtes paraboliques; cas de dimension 1. (Backward uniqueness in mixed parabolic problems; 1 dimensional case) |
scientific article; zbMATH DE number 4159234 |
Statements
Sur l'unicité rétrograde dans les problèmes mixtes paraboliques; cas de dimension 1. (Backward uniqueness in mixed parabolic problems; 1 dimensional case) (English)
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1990
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We give a sufficient condition for the backward uniqueness of the solutions of the parabolic equations associated with the realizations in \(L^ 2(0,1)\) of the ordinary differential operators of order 2m (m\(\geq 1)\) under 2m boundary conditions. The proof is based on Carleman estimates, i.e. \(L^ 2\)-estimates with weights depending on the asymptotic behavior of the eigenvalues of the realizations.
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backward uniqueness
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parabolic equations
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Carleman estimates
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0.8472534418106079
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0.8230202794075012
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0.8010504841804504
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