Reconstruction of piecewise smooth wave speeds using multiple scattering

DOI10.1090/tran/7632zbMath1426.35237arXiv1801.03144OpenAlexW2964209716WikidataQ128185059 ScholiaQ128185059MaRDI QIDQ5222865

Maarten V. de Hoop, Vitaly Katsnelson, Peter Caday, Gunther Uhlmann

Publication date: 4 July 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.03144

zbMATH Keywords

reconstruction formulaDirichlet-to-Neumann mapscattering control methodwave inverse problem

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for second-order hyperbolic equations (35L20) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30)

Related Items (4)

Recovery of Piecewise Smooth Density and Lamé Parameters from High Frequency Exterior Cauchy Data ⋮ Unique Recovery of Piecewise Analytic Density and Stiffness Tensor from the Elastic-Wave Dirichlet-To-Neumann Map ⋮ Recovery of discontinuous Lamé parameters from exterior Cauchy data ⋮ Deep learning architectures for nonlinear operator functions and nonlinear inverse problems

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