Analytic Hypoellipticity for a Class of Sums of Squares of Vector Fields with Non-Symplectic Characteristic Variety

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dc.creatorBove, Antonio
dc.creatorDerridj, Makhlouf
dc.creatorTartakoff, David S.
dc.date2005-04-07
dc.date.accessioned2026-07-07T06:33:04Z
dc.date.available2026-07-07T06:33:04Z
dc.descriptionThe recent example of Hanges: $P = \partial_t^2 + t^2Δ_x + \partial^2_{θ(x)}$ in $R^3$ is analytic hypoelliptic in the sense of germs but not in the strong sense in any neighborhood of the origin. And its characteristic variety is non-symplectic. We give a purely $L^2,$ and hence quite flexible, proof of this result and generalizations, and link it to, and contrast it with, the celebrated Baouendi-Goulaouic operator. We point out that the results are consistent with the conjecture of Treves.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0504159
dc.identifierhttp://arxiv.org/abs/math/0504159
dc.identifierJournal of Functional Analysis {\bf 234} (2), (2006), pp~464-472.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99075
dc.subjectAnalysis of PDEs
dc.subjectComplex Variables
dc.subjectSymplectic Geometry
dc.subject35H10; 35N15
dc.titleAnalytic Hypoellipticity for a Class of Sums of Squares of Vector Fields with Non-Symplectic Characteristic Variety
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