Reconstruction of a Potential on the Line That is a Priori Known on the Half Line
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Publication:4326885
DOI10.1137/S0036139993254656zbMath0814.34073MaRDI QIDQ4326885
Publication date: 12 June 1995
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Inverse scattering problems in quantum theory (81U40) Inverse problems involving ordinary differential equations (34A55)
Related Items (14)
A uniqueness result for one-dimensional inverse scattering ⋮ Inverse spectral-scattering problems on the half-line with the knowledge of the potential on a finite interval ⋮ Recovery of a potential from the ratio of reflection and transmission coefficients ⋮ Inverse scattering for the non-linear Schrödinger equation: Reconstruction of the potential and the non-linearity ⋮ Compactly supported spherically symmetric potentials are uniquely determined by the phase shift of the \(s\)-wave ⋮ \(L^p\)-\(L^{\acute p}\) estimates for the Schrödinger equation on the line and inverse scattering for the nonlinear Schrödinger equation with a potential ⋮ On the missing bound state data of inverse spectral-scattering problems on the half-line ⋮ Inverse scattering with partial information on the potential ⋮ Inverse problems for selfadjoint Schrödinger operators on the half line with compactly supported potentials ⋮ Computational methods for some inverse scattering problems ⋮ Inverse problems of spectral analysis for differential operators and their applications ⋮ Inverse scattering on the line for the nonlinear Klein-Gordon equation with a potential ⋮ Soliton Theory and Hankel Operators ⋮ Inverse scattering problems where the potential is not absolutely continuous on the known interior subinterval
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