An Evolutionary Boundary Value Problem - Université de Perpignan Via Domitia Accéder directement au contenu
Article Dans Une Revue Mediterranean Journal of Mathematics Année : 2016

An Evolutionary Boundary Value Problem

Résumé

We consider a nonlinear initial boundary value problem in a two-dimensional rectangle. We derive variational formulation of the problem which is in the form of an evolutionary variational inequality in a product Hilbert space. Then, we establish the existence of a unique weak solution to the problem and prove the continuous dependence of the solution with respect to some parameters. Finally, we consider a second variational formulation of the problem, the so-called dual variational formulation, which is in a form of a history-dependent inequality associated with a time-dependent convex set. We study the link between the two variational formulations and establish existence, uniqueness, and equivalence results.
Fichier principal
Vignette du fichier
benseghir2016.pdf (214.01 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01346180 , version 1 (22-07-2024)

Identifiants

Citer

Aissa Benseghir, Mircea Sofonea. An Evolutionary Boundary Value Problem. Mediterranean Journal of Mathematics, 2016, 13, pp.4463-4480. ⟨10.1007/s00009-016-0756-y⟩. ⟨hal-01346180⟩

Collections

UNIV-PERP LAMPS
145 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More