Comptes Rendus
no. 7
Partial differential equations/Calculus of variations
Minimizing movements along a sequence of functionals and curves of maximal slope

Presented by: Haïm Brézis

Andrea Braides1; Maria Colombo2; Massimo Gobbino3; Margherita Solci4
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
Comptes Rendus. Mathématique, Volume 354 (2016) no. 7, pp. 685-689.

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.

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.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2016.04.011

Andrea Braides 1; Maria Colombo 2; Massimo Gobbino 3; Margherita Solci 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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Andrea Braides; Maria Colombo; Massimo Gobbino; Margherita Solci. Minimizing movements along a sequence of functionals and curves of maximal slope. Comptes Rendus. Mathématique, Volume 354 (2016) no. 7, pp. 685-689. doi : 10.1016/j.crma.2016.04.011. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.04.011/

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