Singular Perturbations of Mean Curvature Flow

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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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Analysis of PDEs, Differential Geometry, 53C44; 53A07; 35K55

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http://salesiana.dossiersoluciones.com/handle/123456789/71940

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407325
 http://arxiv.org/abs/math/0407325

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arXiv