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Intermediate Optimal Gevrey Exponents Occur

Functional Analysis 2008-02-03 v1

Abstract

Hypoellipticity in Gevrey classes GsG^s is characterized for a simple family of sums of squares of vector fields satisfying the bracket hypothesis, with analytic coefficients. It is shown that hypoellipticity holds if and only if ss is greater than or equal to an optimal exponent that may take on any rational value.

Keywords

Cite

@article{arxiv.math/9603213,
  title  = {Intermediate Optimal Gevrey Exponents Occur},
  author = {Michael Christ},
  journal= {arXiv preprint arXiv:math/9603213},
  year   = {2008}
}