Dispersive estimates for the Schrodinger equation in dimensions four and   five
  We prove optimal (that is, without loss of derivatives) dispersive estimates for the Schrodinger group $e^{it(-\Delta+V)}$ for a class of real-valued potentials $V\in C^k(R^n)$ with $k>(n-3)/2$, where $n=4,5$. 
Fernando Cardoso, Claudio Cuevas and Georgi Vodev