Dispersive effects for the Schrödinger equation on a tadpole graph

Felix Ali Mehmeti, Kaïs Ammari, Serge Nicaise

We consider the free Schrödinger group $e^{-it\frac{d^2}{d{x}^2}}$ on a tadpole graph $\mathcal{R}$. We first show that the time decay estimates $L^1 ({\mathcal R}) \rightarrow L^\…