High frequency dispersive estimates for the Schrodinger equation in high dimensions

Details High frequency dispersive estimates for the Schrodinger equation in high dimensions High frequency dispersive estimates for the Schrodinger equation in high dimensions

2009-11-09

arxiv.org/abs/0911.1611v2

Mathematics

Analysis of PDEs

16 pages

Scientific paper

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

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