Uniqueness and stability in determining the speed of propagation of second-order hyperbolic equation with variable coefficients

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Lipschitz stability for a hyperbolic inverse problem by finite local boundary data (2006, methodology): “A Carleman estimate was first applied to inverse problems by Bukhgeim and Klibanov [3], and see also [2,10,15,16].”
Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems (2012, methodology): “Unlike this, Bellassoued, Imanuvilov, and Yamamoto [26] considered the MCIP of recovering of elastic coefficients λ (x) , µ (x) , ρ (x) of the time dependent Lamé system in the case when the data for the MCIP are given at an arbitrary part Γ ⊂ ∂Ω of the boundary for t ∈ (0, T ) .”
Stability estimate for the hyperbolic inverse boundary value problem by local Dirichlet-to-Neumann map (2008, methodology): “In order to extend the estimate on the conic subset to an estimate on the ball, we use an idea of Heck and Wang [10] and conditional stability for analytic continuation established by Vessella [32].”