Large time behavior of weakly coupled systems of first-order Hamilton-Jacobi equations - Université de Rennes Accéder directement au contenu
Article Dans Une Revue Nonlinear Differential Equations and Applications Année : 2012

Large time behavior of weakly coupled systems of first-order Hamilton-Jacobi equations

Résumé

We show a large time behavior result for class of weakly coupled systems of first-order Hamilton-Jacobi equations in the periodic setting. We use a PDE approach to extend the convergence result proved by Namah and Roquejoffre (1999) in the scalar case. Our proof is based on new comparison, existence and regularity results for systems. An interpretation of the solution of the system in terms of an optimal control problem with switching is given.
Fichier principal
Vignette du fichier
large-t.pdf (345.84 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00589387 , version 1 (28-04-2011)

Identifiants

Citer

Fabio Camilli, Olivier Ley, Paola Loreti, Vinh Duc Nguyen. Large time behavior of weakly coupled systems of first-order Hamilton-Jacobi equations. Nonlinear Differential Equations and Applications, 2012, 19 (6), pp.719-749. ⟨10.1007/s00030-011-0149-7⟩. ⟨hal-00589387⟩
449 Consultations
216 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More