We consider a regularization method for mean curvature now of a submanifold of arbitrary codimension in the Euclidean space, through higher order equations. We prove that the regularized problems converge to the mean curvature flow for all times before the first singularity.
Bellettini, G., Mantbgazza, C., Novaga, M. (2007). Singular perturbations of mean curvature flow. JOURNAL OF DIFFERENTIAL GEOMETRY, 75(3), 403-431.
Singular perturbations of mean curvature flow
BELLETTINI, GIOVANNI;
2007-01-01
Abstract
We consider a regularization method for mean curvature now of a submanifold of arbitrary codimension in the Euclidean space, through higher order equations. We prove that the regularized problems converge to the mean curvature flow for all times before the first singularity.File in questo prodotto:
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