Analytic hypoellipticity in dimension two

Details Analytic hypoellipticity in dimension two Analytic hypoellipticity in dimension two

1996-02-04

arxiv.org/abs/math/9602209v1

Mathematics

Functional Analysis

Scientific paper

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.

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