Analyticity and loss of derivatives

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We prove local real analytic hypoellipticity for a sum of squares of complex vector fields studied by J.J. Kohn in a paper to appear in the Annals of Mathematics entitled "Hypoellipticity and loss of derivatives". The operator exhibits a loss of many derivatives but is nonetheless hypoelliptic, and, using L2 methods, we prove analytic hypoellipticity.
5 pages

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Analysis of PDEs, Complex Variables, Symplectic Geometry, 35H10; 35N15

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http://salesiana.dossiersoluciones.com/handle/123456789/99074

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504149
 http://arxiv.org/abs/math/0504149
 Annals of Mathematics {\bf 162(2)} (2005), pp.943-986

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arXiv