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Paper Publications
[1]Michel Cristofol,Shumin Li,Yunxia Shang.Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by partial boundary layer data. Part II: Some inverse problems.[J].Mathematical Methods in the Applied Sciences,46(12):13304–13319.
[2]Xue Qin,Shumin Li.Local logarithmic stability of an inverse coefficient problem for a singular heat equation with an inverse-square potential.[J].Applicable Analysis,2023,102(7):1995–2017.
[3]Shumin Li,Yunxia Shang.Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data. Part I: Carleman estimates.[J].Journal of Inverse and Ill-Posed Problems,2022,30(5):621-658.
[4]Xue Qin,Shumin Li.The null controllability for a singular heat equation with variable coefficients.[J].Applicable Analysis,2022,101(3):1052-1076.
[5]Yunxia Shang,Shumin Li.Conditional stability in a backward Cahn-Hilliard equation via a Carleman estimate.[J].Journal of Inverse and Ill-Posed Problems,2021,29(2):159-171.
[6]Yunxia Shang,Shumin Li.Control properties for second-order hyperbolic systems in anisotropic cases with applications in inhomogeneous and anisotropic elastodynamic systems.[J].SIAM Journal on Control and Optimization,2018,56(6):4181-4202.
[7]L. Beilina,M. Cristofol,S. Li.Uniqueness, stability and numerical reconstruction of a time and space-dependent conductivity for an inverse hyperbolic problem.Nonlinear and Inverse Problems in Electromagnetics - PIERS 2017, Springer Proceedings in Mathematics & Statistics 243,2018,243133-145.
[8]Larisa Beilina,Michel Cristofol,Shumin Li.Determining the conductivity for a nonautonomous hyperbolic operator in a cylindrical domain.[J].Mathematical Methods in the Applied Sciences,2018,41(5):2012-2030.
[9]L Beilina,M Cristofol,S Li,M Yamamoto.Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations.[J].Inverse Problems,2018,34(1):015001.
[10]Yunxia Shang,Lixia Zhao,Shumin Li,Wuqing Ning.An inverse problem for Maxwell's equations in a uniaxially anisotropic medium.Journal of Mathematical Analysis and Applications,2017,456(2):1415-1441.
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