Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data. Part I: Carleman estimates

Numerical reconstruction based on Carleman estimates of a source term in a reaction-diffusion equation

(2020) Muriel Boulakia et al.   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

An inverse space-dependent source problem for hyperbolic equations and the Lipschitz-like convergence of the quasi-reversibility method

(2019) Loc Nguyen   INVERSE PROBLEMS

An Inverse Source Problem Connected with Thermoacoustic Imaging in Multi-layer Planar Medium

(2019) Banu Uzun et al.   JOURNAL OF MATHEMATICAL IMAGING AND VISION

An inverse problem of finding two time-dependent coefficients in second order hyperbolic equations from Dirichlet to Neumann map

(2019) Mourad Bellassoued et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Quantitative thermoacoustic tomography with microwaves sources

(2017) Hassan Akhouayri et al.   Journal of Inverse and Ill-Posed Problems

Carleman estimates for second-order hyperbolic systems in anisotropic cases and applications. Part I: Carleman estimates

(2014) Shumin Li   APPLICABLE ANALYSIS

Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems

(2013) Michael V. Klibanov   Journal of Inverse and Ill-Posed Problems

Some regularization methods for a thermoacoustic inverse problem

(2011) Barbara Kaltenbacher et al.   Journal of Inverse and Ill-Posed Problems

Carleman estimates for parabolic equations and applications

(2009) Masahiro Yamamoto   INVERSE PROBLEMS

Thermoacoustic tomography with variable sound speed

(2009) Plamen Stefanov et al.   INVERSE PROBLEMS

A new version of the quasi-reversibility method for the thermoacoustic tomography and a coefficient inverse problem

(2008) Michael V. Klibanov et al.   APPLICABLE ANALYSIS

Lipschitz stability in the determination of the principal part of a parabolic equation

(2008) Ganghua Yuan et al.   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

Inverse Problem of Determining the Density and Two Lamé Coefficients by Boundary Data

(2008) M. Bellassoued et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS