Geodesic
Partial regularity for flows of \(H\)-surfaces
Electronic journal of differential equations, Tome 1997 (1997)
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.
Classification : 35B65, 35K65
Keywords: H-surfaces, Hardy spaces, Lorentz spaces 
@article{EJDE_1997__1997__a34,
     author = {Wang,  Changyou},
     title = {Partial regularity for flows of {\(H\)-surfaces}},
     journal = {Electronic journal of differential equations},
     year = {1997},
     volume = {1997},
     zbl = {0886.35032},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1997__1997__a34/}
}
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Wang,  Changyou. Partial regularity for flows of \(H\)-surfaces. Electronic journal of differential equations, Tome 1997 (1997). http://geodesic.mathdoc.fr/item/EJDE_1997__1997__a34/