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

Impact Factor:2.9

DOI number:10.1002/mma.9252

Journal:Mathematical Methods in the Applied Sciences

Key Words:Carleman estimates; hyperbolic-parabolic equations; inverse problems; strong coupling; thermoacoustic equations

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 Holder type involving the observation of only one component: the temperature or the pressure.

Co-author:Michel Cristofol,Shumin Li,Yunxia Shang

Indexed by:Journal paper

Document Code:000962663800001

Discipline:Natural Science

Document Type:J

Volume:46

Issue:12

Page Number:13304–13319

ISSN No.:0170-4214

Translation or Not:no

Included Journals:SCI、EI

Links to published journals:http://doi.org/10.1002/mma.9252