Stability of a stationary solution for the Lugiato-Lefever equation
Stability of a stationary solution for the Lugiato-Lefever equation
We study the stability of a stationary solution for the Lugiato-Lefever equation with the periodic boundary condition in one space dimension, which is a damped and driven nonlinear Schrödinger equation introduced to model the optical cavity. In this paper, we prove the Strichartz estimates for the linear damped Schrödinger equation …