Electronic Journal of Differential Equations,
Vol. 1997(1997), No. 20, pp 1-12.

Title: Partial regularity for flows of H-surfaces

Author: Changyou Wang (Univ. of  Chicago, IL, USA)

Abstract: 
This article studies regularity of weak solutions to the heat equation for 
H-surfaces. Under the assumption that the function H is Lipschitz and 
depends only on the first two components,  the solution has regularity on its
domain, except for a set of measure zero.  Moreover, if the solution 
satisfies certain energy inequality, this set is finite.
 
Submitted September 4, 1997. Published November 20, 1997.
Math Subject Classification: 35B65, 35K65.
Key Words: H-surfaces; Hardy spaces; Lorentz spaces.