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Stability of Solitary Waves in Dispersive Equations
A review of the classical results based on Grillakis-Shatah-Strauss in 1987
A review of the classical results based on Grillakis-Shatah-Strauss in 1987
Organizers
Speaker
Time
Wednesday, October 29, 2025 1:30 PM - 5:30 PM
Venue
Shuangqing-B541
Online
Zoom 462 110 5973
(BIMSA)
Abstract
We will show Grillakis-Shatah-Strauss's classical results based on their work(JFA, 1987) , to explain that the existence of the negative eigenvalue for the linearized operator is not conflict with orbital stability. Furthermore, we will list several typical examples for which Shatah's method can be used directly, like $|u|^{p-1}u$, etc.