Partial differential equations/Calculus of variations
Minimizing movements along a sequence of functionals and curves of maximal slope
[Mouvements minimisants le long d'une séquence de fonctionnelles et courbes de pente maximale]
Comptes Rendus. Mathématique, Tome 354 (2016) no. 7, pp. 685-689.

Nous montrons qu'une condition générale présentée par Colombo et Gobbino pour étudier les limites des courbes de pente maximale permet également de caractériser les mouvements minimisants le long d'une séquence de fonctionelles comme des courbes de pente maximale de la fonctionnelle limite.

We prove that a general condition introduced by Colombo and Gobbino to study limits of curves of maximal slope allows us to characterize also minimizing movements along a sequence of functionals as curves of maximal slope of a limit functional.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2016.04.011
Braides, Andrea 1 ; Colombo, Maria 2 ; Gobbino, Massimo 3 ; Solci, Margherita 4

1 Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133 Roma, Italy
2 ETH Institute for Theoretical Studies, Clausiusstrasse 47, CH-8092 Zürich, Switzerland
3 Dipartimento di Matematica, Via Filippo Buonarroti 1c, 56127 Pisa, Italy
4 DADU, Università di Sassari, Piazza Duomo 6, 07041 Alghero (SS), Italy
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     author = {Braides, Andrea and Colombo, Maria and Gobbino, Massimo and Solci, Margherita},
     title = {Minimizing movements along a sequence of functionals and curves of maximal slope},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {685--689},
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Braides, Andrea; Colombo, Maria; Gobbino, Massimo; Solci, Margherita. Minimizing movements along a sequence of functionals and curves of maximal slope. Comptes Rendus. Mathématique, Tome 354 (2016) no. 7, pp. 685-689. doi : 10.1016/j.crma.2016.04.011. http://www.numdam.org/articles/10.1016/j.crma.2016.04.011/

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