Standing wave solutions for a nonlinear Schrödinger equation with mixed dispersion
In this talk, we will be interested in standing wave solutions to a fourth order nonlinear Schrödinger equation having second and fourth order dispersion terms. This kind of equation naturally appears in nonlinear optics. In a first time, we will establish the existence of ground-state solutions. We can obtain them with two different ways : either by imposing a L^2 mass constraint or via a L^p constraint. We will then be interested in their qualitative properties : positivity, symmetry, exponential decay, uniqueness and orbital stability. We will conclude with some open questions. Joint work with Denis Bonheure, Ederson Moreira Dos Santos and Robson Nascimento. http://cvgmt.sns.it/seminar/532/
When
Wed Jun 1, 2016 1pm – 2pm Coordinated Universal Time
