%0 Journal Article
%T High frequency dispersive estimates for the Schrodinger equation in high dimensions
%A Fernando Cardoso
%A Claudio Cuevas
%A Georgi Vodev
%J Mathematics
%D 2009
%I arXiv
%X We prove optimal dispersive estimates at high frequency for the Schrodinger group with real-valued potentials $V(x)=O(|x|^{-\delta})$, $\delta>n-1$, and $V\in C^k({\bf R}^n$, $k>k_n$, where $n\ge 4$ and $(n-3)/2\le k_n<n/2$. We also give a sufficient condition in terms of $L^1\to L^\infty$ bounds for the formal iterations of Duhamel's formula, which might be satisfied for potentials of less regularity.
%U http://arxiv.org/abs/0911.1611v2