# On the Gevrey regularity for Sums of Squares of vector fields, study of some models

## TL;DR

This paper investigates the Gevrey regularity properties of sums of squares of vector fields with real analytic coefficients, providing detailed micro-local analysis and some partial regularity results.

## Contribution

It offers new insights into the micro-local Gevrey regularity of sums of squares of vector fields, including partial regularity findings.

## Key findings

- Detailed micro-local Gevrey regularity analysis
- Partial regularity results for sums of squares
- Insights into real analytic coefficient cases

## Abstract

The micro-local Gevrey regularity of a class of "sums of squares" with real analytic coefficients is studied in detail. Some partial regularity result is also given.