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Generalized minimizing movements for the mean curvature flow with Dirichlet boundary condition

Generalized minimizing movements for the mean curvature flow with Dirichlet boundary condition We study a variational approach, called Generalized Minimizing Movemenents (GMM) and proposed by E. De Giorgi, to evolution of hypersurfaces by mean curvature in the case of a Dirichlet boundary datum. We prove an existence theorem of a GMM when on the initial solid are made suitable geometric hypotheses. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png ANNALI DELL UNIVERSITA DI FERRARA Springer Journals

Generalized minimizing movements for the mean curvature flow with Dirichlet boundary condition

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Publisher
Springer Journals
Copyright
Copyright © Università degli Studi di Ferrara 1999
ISSN
0430-3202
eISSN
1827-1510
DOI
10.1007/bf02825943
Publisher site
See Article on Publisher Site

Abstract

We study a variational approach, called Generalized Minimizing Movemenents (GMM) and proposed by E. De Giorgi, to evolution of hypersurfaces by mean curvature in the case of a Dirichlet boundary datum. We prove an existence theorem of a GMM when on the initial solid are made suitable geometric hypotheses.

Journal

ANNALI DELL UNIVERSITA DI FERRARA – Springer Journals

Published: Jan 1, 1999

Keywords: Primary: 49Q20, 49K20; Secondary: 58E50

References

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    Giannazza, U.; Savarè, G.
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    Huisken, G
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    Massari, U.
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