Herbert Koch, Xian Liao
Published 2018-01-25Version 1
We derive in this paper a family of conserved energies for the one dimensional Gross-Pitaevskii equation in the small energy case, which describe all the $H^s$, $s>\frac 12$ regularities of the solutions. We endow the energy space with a metric to make it a complete metric space and study its topological property.
Conserved energies for the one dimensional Gross-Pitaevskii equation: low regularity case
Global wellposedness in the energy space for the Maxwell-Schrödinger system
The energy space for the Gross-Pitaevskii equation with magnetic field
![QR code for arXiv:1801.08386 [math.AP]](http://oss.arxitics.com/images/favicon.svg)