Asymptotics of solutions with a compactness property for the nonlinear damped Klein-Gordon equation

Raphaël Côte, Xu Yuan

We consider the nonlinear damped Klein-Gordon equation \[ \partial_{tt}u+2α\partial_{t}u-Δu+u-|u|^{p-1}u=0 \quad \text{on} \ \ [0,\infty)\times \mathbb{R}^N \] with $\alpha >0$, $2 \le N…