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Article Dans Une Revue Rostock. Math. Kolloq Année : 2020

APPLICATIONS OF CARLEMAN INEQUALITIES FOR A TWO-BY-TWO PARABOLIC SYSTEM IN AN UNBOUNDED GUIDE

Laure Cardoulis
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Résumé

In this article we consider the inverse problem of determining some of the coefficients of a two-by-two parabolic system defined on an unbounded guide. Using an adapted Carleman estimate, we establish local stability results for at least two coefficients of this system in any finite portion of the guide. These estimates are obtained with data of the solution at a fixed time and boundary measurements for observations.
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hal-03436095 , version 1 (19-11-2021)

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  • HAL Id : hal-03436095 , version 1

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Laure Cardoulis. APPLICATIONS OF CARLEMAN INEQUALITIES FOR A TWO-BY-TWO PARABOLIC SYSTEM IN AN UNBOUNDED GUIDE. Rostock. Math. Kolloq, 2020. ⟨hal-03436095⟩
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