Geometric Analysis Seminar -- Schrodinger-Poisson systems in closed manifolds

12/02/2015 - 13:30
12/02/2015 - 14:30
Pierre-Damien Thizy (University of Cergy-Pontoise)
Burnside Hall, Rm. 920 (McGill University)

The Schrodinger-Poisson system we investigate in this talk arises when we look for standing waves solutions of the full (time dependent) Schrodinger-Maxwell system in the electrostatic case. After a short introduction, we will give recent stability/instability results of the set of the solutions to this system with respect to small perturbations of the "phase" (temporal frequency). In the process of this talk, we will make the connection of these results with some existence, nonexistence, uniqueness and multiplicity results concerning the positive solutions to this system.

Last edited by on Thu, 11/26/2015 - 10:13