A Priori Estimates for Maximally Subelliptic Quadratic Forms

TL;DR

This paper establishes a priori subelliptic estimates for heat operators linked to maximally subelliptic quadratic forms near non-characteristic boundary points, advancing the understanding of boundary value problems in this context.

Contribution

It provides new a priori estimates for a broad class of maximally subelliptic quadratic forms, extending previous work in the series.

Findings

Proved subelliptic estimates near non-characteristic boundary points.

Extended the theory of maximally subelliptic boundary value problems.

Contributed to the third installment in a series on this topic.

Abstract

We prove a priori subelliptic estimates, near a non-characteristic boundary point, for the heat operators associated to a wide class of maximally subelliptic quadratic forms. This is the third paper in a series devoted to studying general maximally subelliptic boundary value problems.