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arXiv · 1502.05152

Uniqueness in an Integral Geometry Problem and an Inverse Problem for the Kinetic Equation

Arif Amirov·Fikret Gölgeleyen·Masahiro Yamamoto
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Abstract

In this paper, we discuss the uniqueness in an integral geometry problem in a strongly convex domain. Our problem is related to the problem of finding a Riemannian metric by the distances between all pairs of the boundary points. For the proof, the problem is reduced to an inverse source problem for a kinetic equation on a Riemannian manifold and then the uniqueness theorem is proved in semi-geodesic coordinates by using the tools of Fourier analysis.

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Arif Amirov, Fikret Gölgeleyen, Masahiro Yamamoto. 2015-02-18. Uniqueness in an Integral Geometry Problem and an Inverse Problem for the Kinetic Equation. https://arxiv.org/abs/1502.05152

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