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

Author:

Cristofol Michel1ORCID,Li Shumin23,Shang Yunxia4

Affiliation:

1. Institut de Mathématiques de Marseille, CNRS, UMR 7373, École Centrale Aix‐Marseille Université 13453 Marseille France

2. CAS Wu Wen‐Tsun Key Laboratory of Mathematics University of Science and Technology of China 96 Jinzhai Road Baohe Hefei Anhui 230026 China

3. School of Mathematical Sciences University of Science and Technology of China 96 Jinzhai Road Baohe Hefei Anhui 230026 China

4. Mathematics and Science College Shanghai Normal University 100 Guilin Road Shanghai 200234 China

Abstract

This paper is concerned with the determination of coefficients and source term in a strong coupled quantitative thermoacoustic system of equations. Adapting a Carleman estimate established in the part I of this series of papers, we prove stability estimates of Hölder type involving the observation of only one component: the temperature or the pressure.

Funder

National Natural Science Foundation of China

Science and Technology Commission of Shanghai Municipality

Publisher

Wiley

Subject

General Engineering,General Mathematics

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