arXiv 0804.25472008-04-16math.AP

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

Ryuichiro Mizuhara

备注：: 25 pages

英文摘要：

We discuss the microlocal Gevrey smoothing effect for the Schrödinger 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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