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- W4381552810 abstract "We study an inverse problem of determining time-dependent damping coefficient and potential appearing in the wave equation in a compact Riemannian manifold of dimension three or higher. More specifically, we are concerned with the case of conformally transversally anisotropic manifolds, or in other words, compact Riemannian manifolds with boundary conformally embedded in a product of the Euclidean line and a transversal manifold. With an additional assumption of the attenuated geodesic ray transform being injective on the transversal manifold, we prove that the knowledge of a certain partial Cauchy data set determines time-dependent damping coefficient and potential uniquely." @default.
- W4381552810 created "2023-06-22" @default.
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- W4381552810 date "2023-06-17" @default.
- W4381552810 modified "2023-10-18" @default.
- W4381552810 title "Partial data inverse problem for hyperbolic equation with time-dependent damping coefficient and potential" @default.
- W4381552810 doi "https://doi.org/10.48550/arxiv.2306.10442" @default.
- W4381552810 hasPublicationYear "2023" @default.
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