Geodesic
Partial regularity for flows of $H$-surfaces. II
Electronic Journal of Differential Equations, Tome 1999 (1999), pp. 1-8.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {Wang, Changyou},
     title = {Partial regularity for flows of $H$-surfaces. {II}},
     journal = {Electronic Journal of Differential Equations},
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     volume = {1999},
     year = {1999},
     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/