Multi-anisotropic gevrey regularity of hypoelliptic operators

TL;DR

This paper establishes a refined multi-anisotropic Gevrey regularity for solutions of hypoelliptic equations, enhancing the classical regularity results by H"ormander.

Contribution

It introduces a more precise regularity framework for hypoelliptic operators using multi-anisotropic Gevrey classes, extending prior classical results.

Findings

Solutions exhibit multi-anisotropic Gevrey regularity

Provides sharper regularity estimates for hypoelliptic equations

Extends H"ormander's classical regularity results

Abstract

We show a multi-anisotropic Gevrey regularity of solutions of hypoelliptic equations. This result is a precision of a classical result of H\"ormander