Generalized minimizing movements for the mean curvature flow with Dirichlet boundary condition
type: Item
instance of: scholarly article
zbMATH Open document ID: 1011.49030
author: Umberto Massari
author: Nicola Taddia
publication date: 2002-03-18T00:00:00Z
Mathematics Subject Classification ID: 49Q20
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 58E50
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35K60
zbMATH DE Number: 1671548
zbMATH Keywords: mean curvature flow
zbMATH Keywords: existence for Dirichlet data
zbMATH Keywords: generalized minimizing movements
MaRDI profile type: Publication
title: Generalized minimizing movements for the mean curvature flow with Dirichlet boundary condition
published in: Annali dell'Università di Ferrara. Nuova Serie. Sezione VII
review text: The authors study a variational approach, proposed by E. De Giorgi being based on the notion of generalized minimizing movements, towards the evolution of hypersurfaces by mean curvature for the case of a Dirichlet boundary datum. Under suitable geometric assumptions on the initial solid they obtain existence results within the class of generalized minimizing movements.
reviewed by: M. Fuchs
description: scientific article; zbMATH DE number 1671548