Sebastian Herr

activity

20052025

most citedOn the Cauchy problem for the derivative nonlinear Schroedinger equation with periodic boundary condition

98 citations · 104 across the 5 of their papers we have counts for

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math.NA2024

Numerical approximation of bi-harmonic wave maps into spheres

Ľubomír Baňas, 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…

math.AP2024

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 $L^{4}$ -…

Numerical approximation of bi-harmonic wave maps into spheres

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

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