Dispersive effects for the Schr\"odinger equation on finite metric graphs with infinite ends

• Main Authors: Mehmeti, Felix Ali, Ammari, Kaïs, Nicaise, Serge
• Format: Journal Article
• Language: English
• Published: 25.10.2023
• Subjects: Mathematics - Analysis of PDEs

We study the free Schr\"odinger equation on finite metric graphs with infinite ends. We give sufficient conditions to obtain the $L^1$ to $L^\infty$ time decay rate at least $t^{-1/2}$. These conditions allow certain metric graphs with circles and/or with commensurable lengths of the bounded ed...