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Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data. Part II: some inverse problems

Estimations de Carleman et problèmes inverses pour le système thermoacoustique couplé à partir d'observations au bord du domaine. Partie II : quelques problèmes inverses

Abstract

In this paper, we consider Carleman estimates and inverse problems for the coupled quantitative thermoacoustic equations. In the previous Part I of this paper, we established Carleman estimates for the coupled quantitative thermoa-acoustic equations by assuming that the coefficients satisfy suitable conditions. We apply Carleman estimates in the previous Part I to some inverse problems for the coupled quantitative thermoacoustic equations and prove stability estimates of the Hölder type.
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Dates and versions

hal-02863385 , version 1 (11-06-2020)

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  • HAL Id : hal-02863385 , version 1

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Michel Cristofol, Shumin Li, Yunxia Shang. Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data. Part II: some inverse problems. 2020. ⟨hal-02863385⟩
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