Inverse problem of Travel time difference functions on compact Riemannian manifold with boundary

Maarten V. de Hoop; Teemu Saksala

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arXiv · 1807.02576

Inverse problem of Travel time difference functions on compact Riemannian manifold with boundary

Maarten V. de Hoop·Teemu Saksala

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Abstract

We show that the travel time difference functions, measured on the boundary, determine a compact Riemannian manifold with smooth boundary up to Riemannian isometry, if boundary satisfies a certain visibility condition. This corresponds with the inverse microseismicity problem. The novelty of our paper is a new type of a proof and a weaker assumption for the boundary than it has been presented in the literature before. We also construct an explicit smooth atlas from the travel time difference functions.

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BibTeX RIS

Maarten V. de Hoop, Teemu Saksala. 2018-07-06. Inverse problem of Travel time difference functions on compact Riemannian manifold with boundary. https://arxiv.org/abs/1807.02576

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