Publications de François Samer Genoud

Stability of standing waves for a nonlinear Klein-Gordon equation with delta potentials

In this paper, we study local well-posedness and orbital stability of standing waves for a singularly perturbed one-dimensional nonlinear Klein-Gordon equation. We first establish local well-posedness of the Cauchy problem by a fixed point argument. Unlike ...

2019

Existence And Stability Of High Frequency Standing Waves For A Nonlinear Schrodinger Equation

François Samer Genoud

This article is concerned with the existence and orbital stability of standing waves for a nonlinear Schrodinger equation (NLS) with a nonautonomous nonlinearity. It continues and concludes the series of papers [6, 7, 8]. In [6], the authors make use of a ...

2009

Existence and orbital stability of standing waves for some nonlinear Schrodinger equations, perturbation of a model case

François Samer Genoud

The following nonlinear Schrodinger equation is studied ...

2009

Théorie de bifurcation et de stabilité pour une équation de Schrödinger avec une non-linéarité compacte

François Samer Genoud

The nonlinear Schrödinger equation i∂tw + Δw +V(x)|w|p-1w = 0 w = w(t,x) : Ι × RN → C, N ≥ 2, (1) is studied, with p > 1, V : RN \ {0} → R and Ι ⊂ R an interval. The coefficient V is subject to various hypotheses. In particular, it is always assumed ...

EPFL2008

Schrödinger equations with a spatially decaying nonlinearity: Existence and stability of standing waves

Charles Stuart, François Samer Genoud

2008