281 citations · 2.6k across the 85 of their papers we have counts for
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Soliton asymptotics for KdV shock waves via classical inverse scattering
Iryna Egorova, Johanna Michor, Gerald Teschl
We show how the inverse scattering transform can be used as a convenient tool to derive the long-time asymptotics of shock waves for the Korteweg-de Vries (KdV) equation in the sol…
A scalar Riemann-Hilbert problem on the torus: Applications to the KdV equation
Mateusz Piorkowski, Gerald Teschl
We take a closer look at the Riemann-Hilbert problem associated to one-gap solutions of the Korteweg-de Vries equation. To gain more insight, we reformulate it as a scalar Riemann-…
Closed-form Continuous-time Neural Models
Ramin Hasani, Mathias Lechner, Alexander Amini +5
Continuous-time neural processes are performant sequential decision-makers that are built by differential equations (DE). However, their expressive power when they are deployed on…
Perturbations of periodic Sturm--Liouville operators
Jussi Behrndt, Philipp Schmitz, Gerald Teschl +1
We study perturbations of the self-adjoint periodic Sturm--Liouville operator \[ A_0 = \frac{1}{r_0}\left(-\frac{\mathrm d}{\mathrm dx} p_0 \frac{\mathrm d}{\mathrm dx} + q_0\right…