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- W118990516 abstract "In the boundary value inverse problems on manifolds, it is required to recover a Riemannian manifold ʊ from its boundary inverse data (the elliptic or hyperbolic Dirichlet-to-Neumann map, spectral data, etc). We show that for a class of elliptic and hyperbolic problems the required manifold is identical with the spectrum of a certain algebra determined by the inverse data and, consequently, to recover the manifold it suffices to represent the corresponding algebra in the relevant canonical form." @default.
- W118990516 created "2016-06-24" @default.
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- W118990516 date "2008-12-01" @default.
- W118990516 modified "2023-09-26" @default.
- W118990516 title "Geometrization of Rings as a Method for Solving Inverse Problems" @default.
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- W118990516 doi "https://doi.org/10.1007/978-0-387-85652-0_1" @default.
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