%0 Journal Article
%T Hypoellipticity for linear degenerate elliptic systems in Carnot groups and applications
%A Emily Shores
%J Mathematics
%D 2005
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0502569v1