Some non-analytic-hypoelliptic sums of squares of vector fields

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Michael Christ

Certain second-order partial differential operators, which are expressed as sums of squares of real-analytic vector fields in ℝ3 and which are well known to be C∞ hypoelliptic, fail to be analytic hypoelliptic.

https://arxiv.org/abs/math/9201260


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