2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71940We 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.Analysis of PDEsDifferential Geometry53C44; 53A07; 35K55text