Electron.n. J. Diff. Eqns., Vol. 1999(1999), No. 08, pp. 1-8.

Partial regularity for flows of H-surfaces, II

Changyou Wang

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.

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Changyou Wang
Department of Mathematics
Loyola University of Chicago
Chicago, IL 60626, USA
e-mail: wang@math.luc.edu
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