Nonfattening condition for the generalized evolution by mean curvature and applications
Biton, Samuel; Cardaliaguet, Pierre; Ley, Olivier (2008), Nonfattening condition for the generalized evolution by mean curvature and applications, Interfaces and free boundaries, 10, 1, p. 1-4. http://dx.doi.org/10.4171/IFB/177
TypeArticle accepté pour publication ou publié
Journal nameInterfaces and free boundaries
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Abstract (EN)We prove a non fattening condition for a geometric evolution described by the level set approach. This condition is close to those of Soner  and Barles, Soner and Souganidis  but we apply it to some unbounded hypersurfaces. It allows us to prove uniqueness for the mean curvature equation for graphs with convex at inﬁnity initial data, without any restriction on its growth at inﬁnity, by seeing the evolution of the graph of a solution as a geometric motion.
Subjects / Keywordslevel set approach; geometric evolution; unbounded hypersurfaces
Showing items related by title and author.
Monteillet, Aurélien; Ley, Olivier; Cardaliaguet, Pierre; Barles, Guy (2009) Article accepté pour publication ou publié