Intermediate Optimal Gevrey Exponents Occur

Details Intermediate Optimal Gevrey Exponents Occur Intermediate Optimal Gevrey Exponents Occur

1996-03-24

arxiv.org/abs/math/9603213v1

Mathematics

Functional Analysis

Scientific paper

Hypoellipticity in Gevrey classes $G^s$ 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
$s$ is greater than or equal to an optimal exponent that may take on any
rational value.

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