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

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 Added by Teemu Saksala
 Publication date 2018
  fields
and research's language is English




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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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