ISSN:
1432-0835
Keywords:
Mathematics Subject Classification:35K22; 53A07
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. This work continues our considerations in [15], where we discussed existence and regularity results for the mean curvature flow with homogenious Neumann boundary data. We study the long time evolution of compact, smooth, immersed manifolds with boundary which move under the mean curvature flow in Euclidian space. On the boundary, a Neumann condition is prescribed in a purely geometric manner by requiring a vertical contact angle between the unit normal fields of the immersions and a given, smooth hypersurface $\vec\Sigma$ . We deduce estimates for the curvature of the immersions and, in a special case, we obtain a precise description of the possible singularities.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01246150
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