Global ultradifferentiable hypoellipticity on compact manifolds
Analysis of PDEs
2021-10-26 v1
Abstract
We study the global hypoellipticity problem for certain linear operators in Komatsu classes of Roumieu and Beurling type on compact manifolds. We present an approach by combining a characterization of these spaces via eigenfuction expansions, generated by an elliptic operator, and the analysis of matrix-symbols obtained by these expansions.
Keywords
Cite
@article{arxiv.2110.12209,
title = {Global ultradifferentiable hypoellipticity on compact manifolds},
author = {Fernando de Ávila Silva and Eliakim Cleyton Machado},
journal= {arXiv preprint arXiv:2110.12209},
year = {2021}
}