Method With Nonzero Background Potential. Application to Inverse Scattering for the

DOI10.1080/03605309608821199zbMath0855.35130OpenAlexW1974312832MaRDI QIDQ4881619

Roman G. Novikov

Publication date: 11 June 1996

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309608821199

zbMATH Keywords

uniquenessFaddeev function

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10)

Related Items (6)

An inverse scattering problem for the Schrödinger equation in a semiclassical process ⋮ Energy- and regularity-dependent stability estimates for near-field inverse scattering in multidimensions ⋮ Signal reconstruction for the diffusion transport equation using tensorial spline Galerkin approximation ⋮ Stability estimates for recovering the potential by the impedance boundary map ⋮ A numerical method for one-dimensional diffusion problem using Fourier transform and the B-spline Galerkin method ⋮ Unnamed Item

Cites Work

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• Two-dimensional ``inverse scattering problem for negative energies and generalized-analytic functions. I: Energies below the ground state
• The inverse scattering problem on a fixed energy level for two- dimensional Schrödinger operator
• Recovery of singularities for formally determined inverse problems
• Global uniqueness for a two-dimensional inverse boundary value problem
• A uniqueness result for the inverse back-scattering problem
• A multidimensional inverse problem in quantum and acoustic scattering
• On a spectral transform of a KDV-like equation related to the Schrodinger operator in the plane
• Stable determination of conductivity by boundary measurements

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