Analyticity and loss of derivatives

Details Analyticity and loss of derivatives Analyticity and loss of derivatives

2005-04-07

arxiv.org/abs/math/0504149v2

Annals of Mathematics {\bf 162(2)} (2005), pp.943-986

Mathematics

Analysis of PDEs

5 pages

Scientific paper

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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