Singular Sums of Squares of Degenerate Vector Fields

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dc.creatorBove, Antonio
dc.creatorDerridj, Makhlouf
dc.creatorKohn, Joseph J.
dc.creatorTartakoff, David S.
dc.date2006-01-22
dc.date.accessioned2026-07-07T06:59:09Z
dc.date.available2026-07-07T06:59:09Z
dc.descriptionWe 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.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0601523
dc.identifierhttp://arxiv.org/abs/math/0601523
dc.identifierMathematical Research Letters {\bf 13} (5), (2006), pp.~683-702.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107645
dc.subjectAnalysis of PDEs
dc.subjectComplex Variables
dc.subject35H10
dc.titleSingular Sums of Squares of Degenerate Vector Fields
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