71 citations · 537 across the 49 of their papers we have counts for
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The Initial Value Problem, Scattering and Inverse Scattering, for Non-Linear Schrödinger Equations with a Potential and a Non-Local Non-Linearity
María de los Ángeles Sandoval Romero, Ricardo Weder
We consider non-linear Schrödinger equations with a potential, and non-local non-linearities, that are models in mesoscopic physics, for example of a quantum capacitor, and that al…
The Borg-Marchenko Theorem with a Continuous Spectrum
Tuncay Aktosun, Ricardo Weder
The Schrödinger equation is considered on the half line with a selfadjoint boundary condition when the potential is real valued, integrable, and has a finite first moment. It is pr…
Completeness of Averaged Scattering Solutions and Inverse Scattering at a Fixed Energy
Ricardo Weder
We prove that the averaged scattering solutions to the Schrödinger equation with short-range electromagnetic potentials where $V(x)=O(|x|^{-ρ}), A(x)= O(|x|^{-ρ}), |x| \to…
On Inverse Scattering at a Fixed Energy for Potentials with a Regular Behaviour at Infinity
Ricardo Weder, Dimitri Yafaev
We study the inverse scattering problem for electric potentials and magnetic fields in $\ere^d, d\geq 3$, that are asymptotic sums of homogeneous terms at infinity. The main result…