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Singular Perturbations of Mean Curvature Flow

Giovanni Bellettini·Carlo Mantegazza·Matteo Novaga
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Abstract

We introduce a regularization method for mean curvature flow 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.

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Giovanni Bellettini, Carlo Mantegazza, Matteo Novaga. 2004-07-19. Singular Perturbations of Mean Curvature Flow. https://arxiv.org/abs/math/0407325

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