Stability of solutions to inverse scattering problems with fixed-energy data

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dc.creatorRamm, Alexander G.
dc.date2000-08-03
dc.date.accessioned2026-07-07T04:27:56Z
dc.date.available2026-07-07T04:27:56Z
dc.descriptionA review of the author's results is given. Inversion formulas and stability estimates for the solutions to 3D inverse scattering problems with fixed-energy data are obtained. Inversions of exact and noisy data are stidied. The inverse potential scattering problem is discussed in detail, inversion formulas are derived and error estimates are obtained. Inverse obstacle scattering problem with data at a fixed frequency is studied. Uniqueness theorems and stability estimates are obtained. Inverse geophysical scattering problem is discussed. An algorithm for computing the Dirichlet-to-Neumann map from the scattering amplitude and vicxe versa is obtained. An analytical example of non-uniqueness of the solution to a 3D inverse geophysical problem is constructed. An inverse problem for a parabolic equation is discussed.
dc.identifierhttps://arxiv.org/abs/math-ph/0008010
dc.identifierhttp://arxiv.org/abs/math-ph/0008010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56603
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject35R30, 35R25, 47H17, 34C35, 34G20
dc.titleStability of solutions to inverse scattering problems with fixed-energy data
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