On the stability of standing waves of Klein-Gordon equations in a semiclassical regime
Marco Ghimenti, Stefan Le Coz, Marco Squassina
TL;DR
This paper studies the stability properties of standing wave solutions in Klein-Gordon equations within a semiclassical setting, providing insights into their orbital stability and instability behaviors.
Contribution
It offers new analysis on the stability of standing waves in Klein-Gordon equations specifically in the semiclassical regime, which was less explored before.
Findings
Identification of conditions for orbital stability
Identification of conditions for orbital instability
Insights into the semiclassical behavior of solutions
Abstract
We investigate the orbital stability and instability of standing waves for two classes of Klein-Gordon equations in the semi-classical regime.
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