Electronic Journal of Differential Equations,
Vol. 1999(1999), No. 08, pp. 1-8.

Title: Partial regularity for flows of H-surfaces, II

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

Abstract: 
We study the regularity of weak solutions to the heat 
equation for H-surfaces. Under the assumption that the 
function $H:{\Bbb R}^3 \to {\Bbb R}$ is bounded and Lipschitz, 
we show that the solution is $C^{2,\alpha}$ on its domain, 
except for a set of measure zero.

Submitted August 29, 1998. Published March 4, 1999.
Math Subject Classification: 35B65, 35K65.
Key Words: H-surfaces; Lorentz space; Hardy space.