Construction of multi solitary waves with symmetry for the damped nonlinear Klein-Gordon equation

Raphaël Côte, Haiming Du

We are interested in the nonlinear damped Klein-Gordon equation \[ \partial_t^2 u+2α\partial_t u-Δu+u-|u|^{p-1}u=0 \] on ${\mathbb{R}}^d$ for $2\le d\le 5$ and energy sub-critical…