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- W4287367687 abstract "We construct counterexamples to inverse problems for the wave operator on domains in $mathbb{R}^{n+1}$, $n ge 2$, and on Lorentzian manifolds. We show that non-isometric Lorentzian metrics can lead to same partial data measurements, which are formulated in terms certain restrictions of the Dirichlet-to-Neumann map. The Lorentzian metrics giving counterexamples are time-dependent, but they are smooth and non-degenerate. On $mathbb{R}^{n+1}$ the metrics are conformal to the Minkowski metric." @default.
- W4287367687 created "2022-07-25" @default.
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- W4287367687 date "2021-01-26" @default.
- W4287367687 modified "2023-09-30" @default.
- W4287367687 title "Counterexamples to inverse problems for the wave equation" @default.
- W4287367687 doi "https://doi.org/10.48550/arxiv.2101.10740" @default.
- W4287367687 hasPublicationYear "2021" @default.
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