On the action of pseudo-differential operators on Gevrey spaces
Analysis of PDEs
2017-09-11 v1
Abstract
In this paper we study the action of pseudo-differential operators acting on Gevrey spaces. We introduce classes of classical symbols with spatial Gevrey regularity. As the spatial Gevrey regularity of a symbol may depend on the frequency , the action of the associated pseudo-differential operator may induce a loss of regularity. The proof is based on a para-product decomposition.
Keywords
Cite
@article{arxiv.1709.02591,
title = {On the action of pseudo-differential operators on Gevrey spaces},
author = {Baptiste Morisse},
journal= {arXiv preprint arXiv:1709.02591},
year = {2017}
}