Analytic hypoellipticity in dimension two

Abstract

A simple geometric condition is sufficient for analytic hypoellipticity of sums of squares of two vector fields in ${\mathbb{R}}^2$. This condition is proved to be necessary for generic vector fields and for various special cases, and to be both necessary and sufficient for a closely related family of operators.

Cited by in corpus (4)

• Non linear eigenvalue problems
• Semiclassical analysis of a nonlinear eigenvalue problem and non analytic hypoellipticity
• Failure of analytic hypoellipticity in a class of PDOs
• Intermediate Optimal Gevrey Exponents Occur