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Analyticity and loss of derivatives

Makhlouf Derridj·David S. Tartakoff
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Abstract

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.

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Makhlouf Derridj, David S. Tartakoff. 2005-04-25. Analyticity and loss of derivatives. https://arxiv.org/abs/math/0504149

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