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

Michel Cristofol; Shumin Li; Yunxia Shang

Preprints, Working Papers, ...

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 : Problèmes inverses

Michel Cristofol ¹ Shumin Li ² Yunxia Shang ³

1 I2M - Institut de Mathématiques de Marseille

2 School of Mathematical Sciences

3 SHNU - Shanghai Normal University

Abstract : In this paper, we consider Carleman estimates and inverse prob-6 lems for the coupled quantitative thermoacoustic equations. In the previous Part 7 I paper, we established Carleman estimates for the coupled quantitative thermoa-8 coustic equations by assuming that the coefficients satisfy suitable conditions. We 9 apply Carleman estimates in the previous Part I paper to some inverse problems 10 for the coupled quantitative thermoacoustic equations and prove stability esti-11 mates of the Hölder type. 12 13

Keywords : Inverse problems thermoacoustic equations coupled coupled 2010 Mathematics Subject Classfication 35R30

Document type :

Preprints, Working Papers, ...

Domain :

Mathematics [math] / Analysis of PDEs [math.AP]

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Submitted on : Thursday, June 11, 2020 - 7:07:12 PM
Last modification on : Saturday, June 13, 2020 - 3:37:53 AM

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