Hypoellipticity of a Class of Infinitely Degenerate Second Order Operators and Systems

TL;DR

This paper proves hypoellipticity for a class of second order operators formed by combining subelliptic operators with infinitely vanishing coefficients, extending previous results in the field.

Contribution

It generalizes existing hypoellipticity results to operators with infinitely vanishing coefficients in separate spaces.

Findings

Established hypoellipticity for a broader class of operators

Extended previous hypoellipticity results to more general operators

Provided new techniques for analyzing infinitely degenerate operators

Abstract

In this paper we establish a hypoellipticity result for second order linear operators comprised by a linear combination, with infinite vanishing coefficients, of subelliptic operators in separate spaces. This generalizes previous known results.