On the non-existence of local Birkhoff coordinates for the focusing NLS equation

Autor:	Kappeler, T., Topalov, P.
Rok vydání:	2018
Předmět:	Mathematics - Analysis of PDEs 35
Druh dokumentu:	Working Paper
Popis:	We prove that there exist potentials so that near them the focusing non-linear Schr\"odinger equation does not admit local Birkhoff coordinates. The proof is based on the construction of a local normal form of the linearization of the equation at such potentials.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1807.02455 Zobrazit plný text záznamu View this record from Arxiv