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math.AP2020
Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data. Part I: Carleman estimates
Yunxia Shang, Shumin Li
In this paper, we consider Carleman estimates and inverse problems for the coupled quantitative thermoacoustic equations. In Part I, we establish Carleman estimates for the coupled…
math.AP2018
Observability and Control Property for a Singular Heat Equation with Variable Coefficients
Xue Qin, Shumin Li
The goal of this paper is to analyze control properties of the parabolic equation with variable coefficients in the principal part and with a singular inverse-square potential:\,$\…
math.AP2017★ 23 cited
Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations
L. Beilina, M. Cristofol, S. Li +1
We consider an inverse problem of reconstructing two spatially varying coefficients in an acoustic equation of hyperbolic type using interior data of solutions with suitable choice…