Hypoellipticity: Geometrization and Speculation

Details Hypoellipticity: Geometrization and Speculation Hypoellipticity: Geometrization and Speculation

1998-01-13

arxiv.org/abs/math/9801142v1

Mathematics

Functional Analysis

Scientific paper

To any finite collection of smooth real vector
fields $X_j$ in $\reals^n$ we associate a metric in the phase space
$T^*\reals^n$. The relation between the asymptotic behavior of this metric and
hypoellipticity of $\sum X_j^2$, in the smooth, real analytic, and Gevrey
categories, is explored.

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