3 problems

Optimal dispersive estimate conjecture. In dimension $n=3$, the estimate

Let $\Omega\subset\mathbb{R}^n$, $n\geq3$, and let $H^{(1)}$ and $H^{(2)}$ be the magnetic Schrödinger operators considered in Theorem 4.1, with scattering matrices…

Let $\Omega$ be a domain with obstacles, and let $H^{(1)}$ and $H^{(2)}$ be magnetic Schrödinger operators with electric potentials and magnetic potentials as in Theorem 3.4. Let…