Dispersive estimates for four dimensional Schrödinger and wave equations with obstructions at zero energy

M. Burak Erdogan, Michael Goldberg, William R. Green

We investigate $L^1({\mathbb{R}}^4)\to L^{\infty }({\mathbb{R}}^4)$ dispersive estimates for the Schrödinger operator $H=-\Delta +V$ when there are obstructions, a resonance or an eigenvalue, at…