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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
A review of Martel's result for asymptotic stability of solitary waves for 1D cubic-quintic Schrödinger equation with no internal mode
Organizers
Speaker
Time
Wednesday, December 17, 2025 1:30 PM - 5:30 PM
Venue
Shuangqing-B541
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.