Geodesic
Some aspects of the variational nature of mean curvature flow
Journal of the European Mathematical Society, Tome 10 (2008) no. 4, pp. 1013-1036 Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

We show that the classical solution of the heat equation can be seen as the minimizer of a suitable functional defined in space-time. Using similar ideas, we introduce a functional F on the class of space-time tracks of moving hypersurfaces, and we study suitable minimization problems related with F. We show some connections between minimizers of F and mean curvature flow.
DOI : 10.4171/jems/138
Classification : 49-XX, 35-XX, 53-XX, 00-XX
Keywords: Heat equation, space-time energy minimizers, mean curvature flow 
@article{JEMS_2008_10_4_a5,
     author = {Giovanni Bellettini and Luca Mugnai},
     title = {Some aspects of the variational nature of mean curvature flow},
     journal = {Journal of the European Mathematical Society},
     pages = {1013--1036},
     year = {2008},
     volume = {10},
     number = {4},
     doi = {10.4171/jems/138},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/138/}
}
TY  - JOUR
AU  - Giovanni Bellettini
AU  - Luca Mugnai
TI  - Some aspects of the variational nature of mean curvature flow
JO  - Journal of the European Mathematical Society
PY  - 2008
SP  - 1013
EP  - 1036
VL  - 10
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/138/
DO  - 10.4171/jems/138
ID  - JEMS_2008_10_4_a5
ER  - 
%0 Journal Article
%A Giovanni Bellettini
%A Luca Mugnai
%T Some aspects of the variational nature of mean curvature flow
%J Journal of the European Mathematical Society
%D 2008
%P 1013-1036
%V 10
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/138/
%R 10.4171/jems/138
%F JEMS_2008_10_4_a5
Giovanni Bellettini; Luca Mugnai. Some aspects of the variational nature of mean curvature flow. Journal of the European Mathematical Society, Tome 10 (2008) no. 4, pp. 1013-1036. doi: 10.4171/jems/138

Cité par Sources :