English

Hypoellipticity: Geometrization and Speculation

Functional Analysis 2016-09-07 v1

Abstract

To any finite collection of smooth real vector fields XjX_j in Rn\reals^n we associate a metric in the phase space TRnT^*\reals^n. The relation between the asymptotic behavior of this metric and hypoellipticity of Xj2\sum X_j^2, in the smooth, real analytic, and Gevrey categories, is explored.

Keywords

Cite

@article{arxiv.math/9801142,
  title  = {Hypoellipticity: Geometrization and Speculation},
  author = {Michael Christ},
  journal= {arXiv preprint arXiv:math/9801142},
  year   = {2016}
}