Counterexamples to Strichartz estimates for the magnetic Schroedinger equation

Luca Fanelli, Andoni Garcia

In space dimension $n\ge 3$, we consider the magnetic Schrödinger Hamiltonian $H=-(\nabla -iA(x){)}^2$ and the corresponding Schrödinger equation i\partial_tu+Hu=0. We show some expli…