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Stability of Solitary Waves in Dispersive Equations
Examples on the ortital stability of the semilinear Klein-Gordon equation
Examples on the ortital stability of the semilinear Klein-Gordon equation
Organizers
Speaker
Time
Wednesday, November 5, 2025 1:30 PM - 5:30 PM
Venue
Shuangqing-B541
Online
Zoom 462 110 5973
(BIMSA)
Abstract
We will continue to explain the relationship between linearized problem and nonlinear problem by introducing some classical examples about nonlinear Klein-Gordon equation. Specifically, we will mention the real-valued and comples-valued Klein-Gordon equaiton separetely to clarify how the existence of negative eigenvalue of linearized operator decide the orbital stability of Klein-Gordon around the ground state solution.