Reconstruction of a compact manifold from the scattering data of internal sources

DOI10.3934/IPI.2018042zbMath1405.53062arXiv1708.07573OpenAlexW2808956881MaRDI QIDQ2413485

Hanming Zhou, Matti Lassas, Teemu Saksala

Publication date: 14 September 2018

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07573

zbMATH Keywords

inverse problemRiemannian geometrygeodesicscompact manifold with boundary

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Geodesics in global differential geometry (53C22)

Related Items (5)

A foliated and reversible Finsler manifold is determined by its broken scattering relation ⋮ Uniqueness of the partial travel time representation of a compact Riemannian manifold with strictly convex boundary ⋮ Stable reconstruction of simple Riemannian manifolds from unknown interior sources ⋮ Stitching data: recovering a manifold's geometry from geodesic intersections ⋮ Inverse problem of travel time difference functions on a compact Riemannian manifold with boundary

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