Dispersive estimates for the Schrodinger equation in dimensions four and five

Details Dispersive estimates for the Schrodinger equation in dimensions four and five Dispersive estimates for the Schrodinger equation in dimensions four and five

2008-02-14

arxiv.org/abs/0802.1987v2

Mathematics

Analysis of PDEs

17 pages

Scientific paper

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 $n=4,5$.

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