Lipschitz stability for a hyperbolic inverse problem by finite local boundary data

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Stability estimate for hyperbolic inverse problem with time dependent coefficient (2015, methodology): “Kian [12], indeed, inspired by Bellassoued-Jellali-Yamammoto [2]-[1] and using suitable complex geometric optics solutions and Carleman estimate, he proved a log-log type stability estimate in determining the time dependent coefficient q(t, x), from the knowledge of partial Dirichlet-to-Neumann meas”
Monotonicity-based inversion of the fractional Schr\"odinger equation (2017, unknown): “, [2, 3, 4, 5, 7, 9, 10, 11, 12, 13, 14, 19, 52, 53, 56, 57, 58, 65, 71, 73, 78, 79].”
Stability estimate for the hyperbolic inverse boundary value problem by local Dirichlet-to-Neumann map (2008, unknown): “For λ sufficiently large, Lemma 2.2 guarantees the existence of the exponentially growing solutions u(j)2 , j = 1,2, to( ∂2t − Δ + q2(x) ) u(t, x) = 0 in Q, u(0, ·) = ∂tu(0, ·) = 0 in Ω, in the form u (j) 2 (t, x) = eλφj (t,x;ω) ( χj (t, x) + ψ(j)q2 (t, x;λ) ) , (3.2) where ψ(j)q2 satisfies∥∥ψ(j)q2…”
Global uniqueness in an inverse problem for time fractional diffusion equations (2016, methodology): “Without being exhaustive, we refer to [11, 13, 17, 18, 20, 23, 32] for the parabolic case α = 1 and to [5, 6, 7, 8, 9, 10, 21, 34, 38, 39, 40, 43, 49, 54, 55, 56] for the hyperbolic case α = 2.”