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Inverse problem of recovering the time-dependent damping and nonlinear terms for wave equations (2212.01815v2)
Published 4 Dec 2022 in math.AP
Abstract: In this paper, we consider the inverse boundary problems of recovering the time-dependent nonlinearity and damping term for a semilinear wave equation on a Riemannian manifold. The Carleman estimate and the construction of Gaussian beams together with the higher order linearization are respectively used to derive the uniqueness results of recovering the coefficients.
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