Small data scattering for energy-subcritical and critical Nonlinear Klein Gordon equations on product spaces

Lysianne Hari, Nicola Visciglia

We study small data scattering of solutions to Nonlinear Klein-Gordon equations with suitable pure power nonlinearities, posed on ${\mathbb{R}}^d\times {\mathcal{M}}^k$ with $k\le 2$ a…