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

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...

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 46; no. 12; pp. 13304 - 13319
Main Authors Cristofol, Michel, Li, Shumin, Shang, Yunxia
Format Journal Article
LanguageEnglish
Published Wiley 04.04.2023
Subjects
Analysis of PDEs
Mathematics
Inverse problems
thermoacoustic equations
coupled
coupled 2010 Mathematics Subject Classfication 35R30
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Summary: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.9252