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- W2996596593 abstract "We study the problem of unique recovery of a nonsmooth 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 nonsmooth parameters and functions." @default.
- W2996596593 created "2019-12-26" @default.
- W2996596593 creator A5032812479 @default.
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- W2996596593 date "2019-01-01" @default.
- W2996596593 modified "2023-09-25" @default.
- W2996596593 title "Recovery of Nonsmooth Coefficients Appearing in Anisotropic Wave Equations" @default.
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- W2996596593 doi "https://doi.org/10.1137/19m1251394" @default.
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