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Stability of Solitary Waves in Dispersive Equations
A review of Martel's result for asymptotic stability of solitary waves for 1D cubic-quintic Schrödinger equation with no internal mode II
A review of Martel's result for asymptotic stability of solitary waves for 1D cubic-quintic Schrödinger equation with no internal mode II
Organizers
Speaker
Time
Wednesday, January 14, 2026 1:30 PM - 5:30 PM
Venue
A3-3-201
Online
Zoom 462 110 5973
(BIMSA)
Abstract
I will introduce how to prove that the linearized system has no eigenvalues in the gap of the continuous spectrum, then use modulation to give the control of the parameters, and finally give the virial estimate to obtain the asymptotic stability of the soliton solution.