281 citations · 2.6k across the 85 of their papers we have counts for
5 papers · 2 filters
Inverse scattering theory for Schrödinger operators with steplike potentials
Iryna Egorova, Zoya Gladka, Till Luc Lange +1
We study the direct and inverse scattering problem for the one-dimensional Schrödinger equation with steplike potentials. We give necessary and sufficient conditions for the scatte…
Dispersion Estimates for One-Dimensional Discrete Dirac Equations
Elena Kopylova, Gerald Teschl
We derive dispersion estimates for solutions of the one-dimensional discrete perturbed Dirac equation. To this end we develop basic scattering theory and establish a limiting absor…
Properties of the Scattering Matrix and Dispersion Estimates for Jacobi Operators
Iryna Egorova, Markus Holzleitner, Gerald Teschl
We show that for a Jacobi operator with coefficients whose (j+1)'th moments are summable the j'th derivative of the scattering matrix is in the Wiener algebra of functions with sum…
Zero Energy Scattering for One-Dimensional Schrödinger Operators and Applications to Dispersive Estimates
Iryna Egorova, Markus Holzleitner, Gerald Teschl
We show that for a one-dimensional Schrödinger operator with a potential whose (j+1)'th moment is integrable the j'th derivative of the scattering matrix is in the Wiener algebra o…
Dispersion Estimates for One-Dimensional Schrödinger Equations with Singular Potentials
Aleksey Kostenko, Gerald Teschl, Julio H. Toloza
We derive a dispersion estimate for one-dimensional perturbed radial Schrödinger operators. We also derive several new estimates for solutions of the underlying differential equati…