Geodesic
Nonfattening condition for the generalized evolution by mean curvature and applications
Samuel Biton1 ; Pierre Cardaliaguet2 ; Olivier Ley1
1Université de Tours, France
2Université de Bretagne Occidentale, Brest, France
Interfaces and free boundaries, Tome 10 (2008) no. 1, pp. 1-4

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DOI

We prove a non fattening condition for a geometric evolution described by the level set approach. This condition is close to those of Soner [21] and Barles, Soner and Souganidis [5] 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.
DOI : 10.4171/ifb/177
Classification : 35-XX, 65-XX, 76-XX, 92-XX

Samuel Biton  1   ; Pierre Cardaliaguet  2   ; Olivier Ley  1

1 Université de Tours, France
2 Université de Bretagne Occidentale, Brest, France 
Samuel Biton; Pierre Cardaliaguet; Olivier Ley. Nonfattening condition for the generalized evolution by mean curvature and applications. Interfaces and free boundaries, Tome 10 (2008) no. 1, pp. 1-4. doi: 10.4171/ifb/177
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