Hypoellipticity for linear degenerate elliptic systems in Carnot groups and applications
Analysis of PDEs
2007-05-23 v1
Abstract
We prove that if u is a weak solution to a constant coefficient system (with strong ellipticity assumed along the horizontal direction) in a Carnot group (no restriction on the step), then u is actually smooth. We then use this result to develop blow-up analysis to prove a partial regularity result for weak solutions of certain non-linear systems.
Cite
@article{arxiv.math/0502569,
title = {Hypoellipticity for linear degenerate elliptic systems in Carnot groups and applications},
author = {Emily Shores},
journal= {arXiv preprint arXiv:math/0502569},
year = {2007}
}
Comments
27 pages