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• W2073685931 abstract "We consider compact smooth Riemmanian manifolds with boundary of dimension greater than or equal to two. For the initial-boundary value problem for the wave equation with a lower order term q(t, x), we can recover the X-ray transform of time dependent potentials q(t, x) from the dynamical Dirichlet-to-Neumann map in a stable way. We derive conditional Hölder stability estimates for the X-ray transform of q(t, x). The essential technique involved is the Gaussian beam Ansatz, and the proofs are done with the minimal assumptions on the geometry for the Ansatz to be well-defined." @default.
• W2073685931 created "2016-06-24" @default.
• W2073685931 creator A5086841003 @default.
• W2073685931 date "2014-09-16" @default.
• W2073685931 modified "2023-09-25" @default.
• W2073685931 title "Stable Determination of X-Ray Transforms of Time Dependent Potentials from Partial Boundary Data" @default.
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• W2073685931 doi "https://doi.org/10.1080/03605302.2014.930486" @default.
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