279 citations · 1.4k across the 39 of their papers we have counts for
39 papers
On Analyticity of Solitons for the Periodic Dispersion-Managed Nonlinear Schrödinger Equation
Sebastian Herr, Dirk Hundertmark, Jeremy L. Marzuola +1
We explore the regularity of energy maximizers for the Lagrangian of a periodic dispersion managed fiber optic at fixed intensity, on a torus of length and with vanishing avera…
The massless and the non-relativistic limit for the cubic Dirac equation
Timothy Candy, Sebastian Herr
Massive and massless Dirac equations with Lorentz-covariant cubic nonlinearities are considered in spatial dimension . Global well-posedness of the Cauchy problem for small…
Low regularity well-posedness of KP-I equations: the three-dimensional case
Sebastian Herr, Akansha Sanwal, Robert Schippa
In this paper, low regularity local well-posedness results for the Kadomtsev--Petviashvili--I equation posed in spatial dimension are proved. Periodic, non-periodic and mixe…
Local well-posedness of a system describing laser-plasma interactions
Sebastian Herr, Isao Kato, Shinya Kinoshita +1
A degenerate Zakharov system arises as a model for the description of laser-plasma interactions. It is a coupled system of a Schrödinger and a wave equation with a non-dispersive d…
The Zakharov-Kuznetsov equation in high dimensions: Small initial data of critical regularity
Sebastian Herr, Shinya Kinoshita
The Zakharov-Kuznetsov equation in spatial dimension is considered. The Cauchy problem is shown to be globally well-posed for small initial data in critical spaces and it…
Global wellposedness for the energy-critical Zakharov system below the ground state
Timothy Candy, Sebastian Herr, Kenji Nakanishi
The Cauchy problem for the Zakharov system in the energy-critical dimension is considered. We prove that global well-posedness holds in the full (non-radial) energy space for…