Speaker
Michal Kowalczyk
(SANTIAGO)
Description
(Michal Kowalczyk - University of Chile, Santiago)
The asymptotic stability of the black and dark solitons of the one-dimensional Gross-Pitaevskii equation was proved by Béthuel, Gravejat and Smets and Gravejat and Smets, using a rigidity property in the vicinity of solitons. We provide an alternate proof of their Liouville theorems using a factorization identity for the linearized operator which trivializes the spectral analysis.
