Inverse spectral results for AKNS systems with partial information on the potentials

DOI10.1023/A:1012981630059zbMath0998.34010OpenAlexW25380097MaRDI QIDQ5959820

Rafael René del Río Castillo, Benoît Grébert

Publication date: 11 April 2002

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1012981630059

zbMATH Keywords

inverse problemsspectral theoryAKNS systems

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenvalue problems for linear operators (47A75) General theory of ordinary differential operators (47E05) Equations and inequalities involving linear operators, with vector unknowns (47A50) Inverse problems involving ordinary differential equations (34A55) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (10)

Inverse spectral analysis for Regge problem with partial information on the potential ⋮ Direct and inverse resonance problems for the massless Dirac operator on the half line ⋮ Uniqueness of solution to inverse Dirac spectral problems associated with incomplete spectral data ⋮ Unnamed Item ⋮ Asymptotic form and infinite product representation of solution of a second order initial value problem with a complex parameter and a finite number of turning points ⋮ The coordinate system \(\mu\times\kappa\) on \(L^2([0,1)\times L^2([0,1])\) for the AKNS operator] ⋮ A half-inverse problem for impulsive Dirac operator with discontinuous coefficient ⋮ Incomplete inverse spectral problems for Dirac-Bessel operators ⋮ Inverse spectral problems for the Sturm-Liouville operator with discontinuity ⋮ The uniqueness of inverse problem for the Dirac operators with partial information

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