Singular Sums of Squares of Degenerate Vector Fields

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We simplify and give an alternative proof of hypoellipticity for generalizations of the singular sum of squares of complex vector fields studied by Kohn, with an appendix by Derridj and Tartakoff, in the Annals of Mathematics, vol. 162 no. 2, 2005, pp. 943-986. The main generalization is that the complex vector fields now come from domains of finite type. We also prove real analytic hypoellipticity and the optimality of our estimates.
19 pages

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Analysis of PDEs, Complex Variables, 35H10

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http://salesiana.dossiersoluciones.com/handle/123456789/107645

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601523
 http://arxiv.org/abs/math/0601523
 Mathematical Research Letters {\bf 13} (5), (2006), pp.~683-702.

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arXiv