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

Analysis of PDEs 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0609803,
  title  = {A Class of Sums of Squares with a Given Poisson-Treves Stratification},
  author = {Antonio Bove and David S. Tartakoff},
  journal= {arXiv preprint arXiv:math/0609803},
  year   = {2007}
}

Comments

39 pp