Inverse problem of recovering the time-dependent damping and nonlinear terms for wave equations

Song-Ren Fu

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arXiv · 2212.01815

Inverse problem of recovering the time-dependent damping and nonlinear terms for wave equations

Song-Ren Fu

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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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Song-Ren Fu. 2022-12-04. Inverse problem of recovering the time-dependent damping and nonlinear terms for wave equations. https://arxiv.org/abs/2212.01815

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