A Riemann–Hilbert approach to the inverse problem for the Stark operator on the line

DOI10.1088/0266-5611/32/5/055003zbMath1381.34109OpenAlexW2335237167MaRDI QIDQ2811967

Alexander R. Its, V. V. Sukhanov

Publication date: 9 June 2016

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/32/5/055003

zbMATH Keywords

scattering theoryinverse spectral problemStark operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Inverse problems involving ordinary differential equations (34A55) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items (11)

Inverse spectral problem for the Schrödinger equation with an additional linear potential ⋮ On the transformation operator for the Schrödinger equation with an additional linear potential ⋮ SCATTERING PROBLEM OF THE PERTURBED AIRY EQUATION ON A HALF-AXIS ⋮ Inverse spectral problem for the one-dimensional Stark operator on the semiaxis ⋮ Large time asymptotics for the cylindrical Korteweg–de Vries equation. I. ⋮ Unnamed Item ⋮ On the inverse spectral problem for the one-dimensional Stark operator on the semiaxis ⋮ Jánossy Densities and Darboux Transformations for the Stark and Cylindrical KdV Equations ⋮ Eigenvalue bounds for Stark operators with complex potentials ⋮ Trace formulas for the one-dimensional Stark operator and integrals of motion for the cylindrical Korteweg–de Vries equation ⋮ The Dirichlet problem for perturbed Stark operators in the half-line

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