Relations between different types of Hypoellipticity: A systematic approach
Analysis of PDEs
2025-05-20 v1 Functional Analysis
Abstract
We give a systematic treatment to the concept of hypoellipticity, putting it into an abstract form which allows us to deal with several different notions within the same framework. We then investigate when a notion of hypoellipticity implies another one and, in particular, when it can be extended for more general spaces. We also present a relation between certain types of hypoellipticity and local solvability (for the transpose) for a family of operators.
Cite
@article{arxiv.2505.11801,
title = {Relations between different types of Hypoellipticity: A systematic approach},
author = {Bruno de Lessa Victor and Luis F. Ragognette},
journal= {arXiv preprint arXiv:2505.11801},
year = {2025}
}