A variational scheme for hyperbolic obstacle problems. (November 2019)

• Record Type: Journal Article
• Authors: Bonafini, M.; Novaga, M.; Orlandi, G.
• Is Part Of: Nonlinear analysis. Volume 188(2019)
• Page Start: 389
• Page End: 404
• Publication Date: 2019-11
• Subjects: Hyperbolic obstacle problem -- Non-local wave equation -- Minimizing movements; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2019.06.008
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We consider an obstacle problem for (possibly non-local) wave equations, and we prove existence of weak solutions through a convex minimization approach based on a time discrete approximation scheme. We provide the corresponding numerical implementation and raise some open questions.