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.