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arXiv · 0802.1987

Dispersive estimates for the Schrodinger equation in dimensions four and five

Fernando Cardoso·Claudio Cuevas·Georgi Vodev
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Abstract

We prove optimal (that is, without loss of derivatives) dispersive estimates for the Schrodinger group $e^{it(-Δ+V)}$ 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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Fernando Cardoso, Claudio Cuevas, Georgi Vodev. 2008-03-31. Dispersive estimates for the Schrodinger equation in dimensions four and five. https://arxiv.org/abs/0802.1987

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