Microlocal smoothing effect for the Schrödinger evolution equation in a Gevrey class

Details Microlocal smoothing effect for the Schrödinger evolution equation in a Gevrey class Microlocal smoothing effect for the Schrödinger evolution equation in a Gevrey class

2008-04-16

arxiv.org/abs/0804.2547v1

Mathematics

Analysis of PDEs

25 pages

Scientific paper

We discuss the microlocal Gevrey smoothing effect for the Schr\"odinger
equation with variable coefficients via the propagation property of the wave
front set of homogenous type. We apply the microlocal exponential estimates in
a Gevrey case to prove our result.

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