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• W2922277645 abstract "We study the problem of unique recovery of a non-smooth one-form $mathcal A$ and a scalar function $q$ from the Dirichlet to Neumann map, $Lambda_{mathcal A,q}$, of a hyperbolic equation on a Riemannian manifold $(M,g)$. We prove uniqueness of the one-form $mathcal A$ up to the natural gauge, under weak regularity conditions on $mathcal A,q$ and under the assumption that $(M,g)$ is simple. Under an additional regularity assumption, we also derive uniqueness of the scalar function $q$. The proof is based on the geometric optic construction and inversion of the light ray transform extended as a Fourier Integral Operator to non-smooth parameters and functions." @default.
• W2922277645 created "2019-03-22" @default.
• W2922277645 creator A5032812479 @default.
• W2922277645 creator A5043286389 @default.
• W2922277645 date "2019-03-19" @default.
• W2922277645 modified "2023-09-27" @default.
• W2922277645 title "Recovery of non-smooth coefficients appearing in anisotropic wave equations." @default.
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• W2922277645 hasPublicationYear "2019" @default.
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