36 citations · 55 across the 11 of their papers we have counts for
5 papers · 1 filter
Large time well posedness for a Dirac--Klein-Gordon system
Federico Cacciafesta, Anne-Sophie de Suzzoni, Long Meng +1
In this paper we prove well posedness for a system coupling a nonlinear Dirac with a Klein-Gordon equation that represents a toy model for the Helium atom with relativistic correct…
Derivation of the Half-Wave Maps Equation from Calogero--Moser Spin Systems
Enno Lenzmann, Jérémy Sok
We prove that the energy-critical half-wave maps equation \[ \partial_t \mathbf{S} =\mathbf{S} \times |\nabla| \mathbf{S}, \quad (t,x) \in \mathbb{R} \times \mathbb{T} \] arises as…
On symmetry of traveling solitary waves for dispersion generalized NLS
Lars Bugiera, Enno Lenzmann, Armin Schikorra +1
We consider dispersion generalized nonlinear Schrödinger equations (NLS) of the form , where denotes a (pseudo)-differential operator…
On symmetry and uniqueness of ground states for linear and nonlinear elliptic PDEs
Lars Bugiera, Enno Lenzmann, Jérémy Sok
We study ground state solutions for linear and nonlinear elliptic PDEs in with (pseudo-)differential operators of arbitrary order. We prove a general symmetry result…
A sharp rearrangement principle in Fourier space and symmetry results for PDEs with arbitrary order
Enno Lenzmann, Jérémy Sok
We prove sharp inequalities for the symmetric-decreasing rearrangement in Fourier space of functions in . Our main result can be applied to a general class of (pseudo…