Vol. 196, No. 1, 2000

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On the 𝜀-regularization of the mean curvature flow problem with Neumann condition

Yves Dumont

Vol. 196 (2000), No. 1, 131–176
Abstract

This paper deals with the study of the 𝜀-regularization of the mean curvature equation with Neumann boundary conditions in one dimensional space. In particular, we measure the convergence of the regularized problem’s solution to the viscosity solution of the mean curvature problem in appropriate topologies.

Milestones
Received: 9 April 1999
Published: 1 November 2000
Authors
Yves Dumont
IREMIA - Université de la Reunion
15 avenue Rene Cassin
B.P 7151
97715 Saint Denis Messag, cedex 9
Ile de La Reunion
France