The Metivier inequality and ultradifferentiable hypoellipticity
Analysis of PDEs
2025-01-23 v1
Abstract
In 1980 M{\'e}tivier characterized the analytic (and Gevrey) hypoellipticity of -solvable partial linear differential operators by a-priori estimates. In this note we extend this characterization to ultradifferentiable hypoellipticity with respect to Denjoy-Carleman classes given by suitable weight sequences. We also discuss the case when the solutions can be taken as hyperfunctions and present some applications.
Keywords
Cite
@article{arxiv.2303.14507,
title = {The Metivier inequality and ultradifferentiable hypoellipticity},
author = {Paulo D. Cordaro and Stefan Fürdös},
journal= {arXiv preprint arXiv:2303.14507},
year = {2025}
}