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Paper detail

Three travel time inverse problems on simple Riemannian manifolds

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.

preprint2022arXivOpen access
Joonas IlmavirtaBoya LiuTeemu Saksala
math.DG
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Joonas IlmavirtaBoya LiuTeemu Saksala

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