Geodesic
Partial regularity for flows of \(H\)-surfaces. II
Electronic journal of differential equations, Tome 1999 (1999), pp. 1-8
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.
Classification : 35B65, 35K65
Keywords: H-surfaces, Lorentz space, Hardy space 
@article{EJDE_1999__1999__a3,
     author = {Wang,  Changyou},
     title = {Partial regularity for flows of {\(H\)-surfaces.} {II}},
     journal = {Electronic journal of differential equations},
     pages = {1--8},
     year = {1999},
     volume = {1999},
     zbl = {0918.35033},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a3/}
}
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Wang,  Changyou. Partial regularity for flows of \(H\)-surfaces. II. Electronic journal of differential equations, Tome 1999 (1999), pp. 1-8. http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a3/