Electron. J. Diff. Eqns.,
Vol. 1997(1997), No. 20, pp 1-12.

### Partial regularity for flows of H-surfaces

Changyou Wang

**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.

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Changyou Wang

Department of Mathematics, University of Chicago, Chicago, IL 60637. USA

E-mail adress: cywang@math.uchicago.edu

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