Partial regularity for flows of H-surfaces, II

Abstract

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

Keywords

• H-surfaces
• Lorentz space
• Hardy space.