Scattering theory for Schrödinger operators on steplike, almost periodic infinite-gap backgrounds
arXiv:1204.0890 · doi:10.1016/j.jde.2012.12.014
Abstract
We develop direct scattering theory for one-dimensional Schrödinger operators with steplike potentials, which are asymptotically close to different Bohr almost periodic infinite-gap potentials on different half-axes.
arXiv admin note: text overlap with arXiv:0707.4632
References in corpus (7)
- Long-Time Asymptotics for the Korteweg-de Vries Equation via Nonlinear Steepest Descent
- Effective Pruefer Angles and Relative Oscillation Criteria
- On the Cauchy Problem for the Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data I. Schwartz-Type Perturbations
- On the Cauchy Problem for the modified Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data
- Inverse Scattering Theory for One-Dimensional Schroedinger Operators with Steplike Periodic Potentials
- Long-Time Asymptotics of Perturbed Finite-Gap Korteweg-de Vries Solutions
- The Transformation Operator for One-Dimensional Schroedinger Operators on Almost Periodic Infinite-Gap Backgrounds