A Class of Sums of Squares with a Given Poisson-Treves Stratification

Details A Class of Sums of Squares with a Given Poisson-Treves Stratification A Class of Sums of Squares with a Given Poisson-Treves Stratification

2006-09-28

arxiv.org/abs/math/0609803v1

J. Geom. Anal. 13 (2003), no. 3, 391--420

Mathematics

Analysis of PDEs

39 pp

Scientific paper

We study a class of sum of squares exhibiting the same Poisson-Treves
stratification as the Oleinik-Radkevi\v{c} operator. We find three types of
operators having distinct microlocal structures. For one of these we prove a
Gevrey hypoellipticity theorem analogous to our recent result for the
corresponding Oleinik-Radkevi\v{c} operator.

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