English

Microlocal smoothing effect for the Schr\"odinger evolution equation in a Gevrey class

Analysis of PDEs 2008-04-17 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0804.2547,
  title  = {Microlocal smoothing effect for the Schr\"odinger evolution equation in a Gevrey class},
  author = {Ryuichiro Mizuhara},
  journal= {arXiv preprint arXiv:0804.2547},
  year   = {2008}
}

Comments

25 pages

R2 v1 2026-06-21T10:31:28.753Z