Giovanni Bellettini, Carlo Mantegazza, Matteo Novaga
Abstract
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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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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.
Key concepts: Mean curvature flow, Submanifold, Curvature, Mathematics, Mean curvature, Codimension, Singularity, Euclidean space