Analyticity and loss of derivatives
Analysis of PDEs
2007-05-23 v2 Complex Variables
Symplectic Geometry
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.
Cite
@article{arxiv.math/0504149,
title = {Analyticity and loss of derivatives},
author = {Makhlouf Derridj and David S. Tartakoff},
journal= {arXiv preprint arXiv:math/0504149},
year = {2007}
}
Comments
5 pages