3 papers
math.AP2024
Standing wave solutions of a quasilinear Schrödinger equation in the small frequency limit
François Genoud, Simona Rota Nodari
This article is concerned with the quasilinear Schrödinger equation \[ Δu-ωu+|u|^{p-1}u+δΔ(|u|^2)u=0, \] where , and or and . After p…
math.AP2018
Stability of Standing Waves for a Nonlinear Klein-Gordon Equation with Delta Potentials
Elek Csobo, François Genoud, Masahito Ohta +1
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…
math.AP2017
Instability of an integrable nonlocal NLS
François Genoud
In this note we discuss the global dynamics of an integrable nonlocal NLS on , which has been the object of recent investigation by integrable systems methods. We prove…