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

Abstract

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.

25 pages

References in corpus (2)

• Singularities of solutions to Schrodinger equation on scattering manifold
• Analytic wave front set for solutions to Schroedinger equation