3 citations · 3 across the 2 of their papers we have counts for
4 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…
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…