Dispersion on certain Cartesian products of graphs

Kaïs Ammari, Mostafa Sabri

In this short note we prove a sharp dispersive estimate $\Vert {\mathrm{e}}^{\mathrm{i}tH}f{\Vert }_{\infty }<t^{-d/3}\Vert f{\Vert }_1$ for any Cartesian product ${\mathbb{Z}}^d\square G_F$ of th…