Well-posedness and scattering for the mass-energy NLS on ${\mathbf{R}}^n\times {\mathcal{M}}^k$

Mirko Tarulli

We study the nonlinear Schrödinger equation posed on product spaces ${\mathbf{R}}^n\times {\mathcal{M}}^k$, for $n\ge 1$ and $k\ge 1$, with ${\mathcal{M}}^k$ any $k$-dimensional compact Ri…