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A class of sums of squares with a given Poisson-Treves stratification

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Abstract

We study a class of sum of squares exhibiting the same Poisson-Treves stratification as the Oleinik-Radkevič 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-Radkevič operator.

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Authors and Affiliations

  1. Dipartimento di Matematica, Universitá di Bologna, Piazza di Porta S. Donate 5, 40127, Bologna, Italy

    Antonio Bove

  2. Sezione di Bologna, Istituto Nazionale di Fisica Nucleare, Italia

    Antonio Bove

  3. Department of Mathematics, University of Illinois at Chicago, m/c 247, 851 S. Morgan St., 60607, Chicago, IL

    David Tartakoff

Authors
  1. Antonio Bove
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  2. David Tartakoff
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Correspondence to Antonio Bove.

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Communicated by Steven Bell

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Bove, A., Tartakoff, D. A class of sums of squares with a given Poisson-Treves stratification. J Geom Anal 13, 391–420 (2003). https://doi.org/10.1007/BF02922052

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  • DOI: https://doi.org/10.1007/BF02922052

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