Dispersive effects and high frequency behaviour for the Schrödinger equation in star-shaped networks

Felix Ali Mehmeti, Kaïs Ammari, Serge Nicaise

We prove the time decay estimates $L^1(\mathcal{R})\to L^{\infty }(\mathcal{R}),$ where $\mathcal{R}$ is an infinite star-shaped network, for the Schrödinger group $e^{it(- \frac{d^2…