Strichartz estimates for Schrödinger equations with the multipole Aharonov--Bohm Hamiltonian

Abstract

We prove global-in-time Strichartz estimates for Schrödinger equations with multipole Aharonov--Bohm Hamiltonians on ${\mathbb{R}}^2$. As intermediate steps, we prove global-in-time local smoothing estimates for multipole Aharonov--Bohm Hamiltonians.

10 pages, comments are welcome