Asymptotic stability of solitary waves in dimension one
Abstract
I will present work on the asymptotic stability of solitary waves for two 1D models: nonlinear Klein-Gordon (kinks), and nonlinear Schrodinger (bright solitons). An important idea in the proof is the treatment of resonances through the distorted Fourier transform.
This is joint work with Fabio Pusateri and Charles Collot.