23 citations · 43 across the 5 of their papers we have counts for
5 papers
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…
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:\,$\…
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…
Uniqueness and stability of time and space-dependent conductivity in a hyperbolic cylindrical domain
L. Beilina, M. Cristofol, S. Li
This paper is devoted to the reconstruction of the time and space-dependent coefficient in an infinite cylindrical hyperbolic domain. Using a local Carleman estimate we prove the u…
Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary
Michel Cristofol, Shumin Li, Eric Soccorsi
We consider the multidimensional inverse problem of determining the conductivity coefficient of a hyperbolic equation in an infinite cylindrical domain, from a single boundary obse…