ShowMe Analysis Meeting 2004 June 3-5, 2004 University of Missouri Columbia, Missouri

Emily Shores (University of Arkansas)
A regularity result for sub-elliptic systems in Carnot Groups

Abstract: In this talk I will show that if u is a weak solution (in the sense of distributions) of a constant coefficient system in a Carnot Group (no restriction on the step), then u is actually smooth.  We can then use this result to develop blow-up analysis to prove a partial regularity result for weak solutions of certain non-linear systems.