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arXiv · 2208.08422

Three travel time inverse problems on simple Riemannian manifolds

Joonas Ilmavirta·Boya Liu·Teemu Saksala
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Abstract

We provide new proofs based on the Myers-Steenrod theorem to confirm that travel time data, travel time difference data and the broken scattering relations determine a simple Riemannian metric on a disc up to the natural gauge of a boundary fixing diffeomorphism. Our method of the proof leads to a Lipschitz-type stability estimate for the first two data sets in the class of simple metrics.

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Joonas Ilmavirta, Boya Liu, Teemu Saksala. 2022-08-17. Three travel time inverse problems on simple Riemannian manifolds. https://arxiv.org/abs/2208.08422

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