Sebastian Herr

most citedGlobal well-posedness of the cubic nonlinear SchrÃ¶dinger equation on

T^{2}

1 citations · 1 across the 1 of their papers we have counts for

collaborators

4 papers

math.AP2026★ 1 cited

Global well-posedness of the cubic nonlinear SchrÃ¶dinger equation on $T^{2}$

Sebastian Herr, Beomjong Kwak

We prove global well-posedness for the cubic nonlinear SchrÃ¶dinger equation for periodic initial data in the mass-critical dimension $d = 2$ for initial data of arbitrary size in th…

math.AP2026

The Cauchy problem for the periodic Kadomtsev--Petviashvili--II equation below $L^{2}$

Sebastian Herr, Robert Schippa, Nikolay Tzvetkov

We extend Bourgain's $L^{2}$ -wellposedness result for the KP-II equation on $T^{2}$ to initial data with negative Sobolev regularity. The key ingredient is a new linear $L^{4}$ -…

math.AP2025

Global results for weakly dispersive KP-II equations on the cylinder

Sebastian Herr, Robert Schippa, Nikolay Tzvetkov

We consider the dispersion-generalized KP-II equation on a partially periodic domain in the weakly dispersive regime. We use Fourier decoupling techniques to derive essentially sha…

math.NA2025

Numerical approximation of bi-harmonic wave maps into spheres

Ä½ubomÃr BaÅas, Sebastian Herr

We construct a structure preserving non-conforming finite element approximation scheme for the bi-harmonic wave maps into spheres equation. It satisfies a discrete energy law and p…

Global well-posedness of the cubic nonlinear SchrÃ¶dinger equation on T2

The Cauchy problem for the periodic Kadomtsev--Petviashvili--II equation below L2

Global results for weakly dispersive KP-II equations on the cylinder

Numerical approximation of bi-harmonic wave maps into spheres

Global well-posedness of the cubic nonlinear SchrÃ¶dinger equation on $T^{2}$

The Cauchy problem for the periodic Kadomtsev--Petviashvili--II equation below $L^{2}$