Determination of a coefficient in an acoustic equation with a single measurement

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The Wave Equation: Control and Numerics (2012, methodology): “For what concerns the acoust ic wave equation, we can also refer to the works of [86, 52].”
Global Carleman Estimates for Waves and Applications (2011, background): “One can also read similar versions of global Carleman estimates for hyperbolic equations in [17, 20, 31].”
An inverse problem for the dynamical Lamé system with two sets of boundary data (2003, methodology): “[25] Yamamoto, M. Uniqueness and stability in multidimensional hyperbolic inverse problems.”
Lipschitz stability in the determination of the principal part of a parabolic equation (2009, methodology): “We can prove a similar Carleman estimate where the right-hand side is estimated in an H−1-weighted space (Imanuvilov and Yamamoto [22,24]).”
Carleman estimates for the non-stationary Lamé system and the application to an inverse problem (2005, methodology): “The Carleman estimate with right hand side in H−1(Q)-space was proved by Imanuvilov [18], Ruiz [43], for a scalar hyperbolic equation and by Imanuvilov and Yamamoto [26] for a parabolic equation.”
Uniqueness and stability in determining the speed of propagation of second-order hyperbolic equation with variable coefficients (2004, unknown): “[26] M. Yamamoto (1999).”