Invariant Manifolds Around Soliton Manifolds for the Nonlinear Klein–Gordon Equation
Invariant Manifolds Around Soliton Manifolds for the Nonlinear Klein–Gordon Equation
We construct center-stable and center-unstable manifolds, as well as stable and unstable manifolds, for the nonlinear Klein–Gordon equation with a focusing energy subcritical nonlinearity, associated with a family of solitary waves which is generated from any radial stationary solution by the action of all Lorentz transforms and spatial translations. The …