Three travel time inverse problems on simple Riemannian manifolds-Reference-Cited by-同舟云学术

Three travel time inverse problems on simple Riemannian manifolds

Published:2023-06-23 Issue:10 Volume:151 Page:4513-4525
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ilmavirta Joonas,Liu Boya,Saksala Teemu

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.

Funder

Academy of Finland

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2023-151-10/S0002-9939-2023-16453-9/proc16453_AM.pdf

Reference17 articles.

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