A variational scheme for hyperbolic obstacle problems

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.

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Bibliographic Details
Published inNonlinear analysis Vol. 188; pp. 389 - 404
Main Authors Bonafini, M., Novaga, M., Orlandi, G.
Format Journal Article
LanguageEnglish
Published Elmsford Elsevier Ltd 01.11.2019
Elsevier BV
Subjects
Hyperbolic obstacle problem
Minimizing movements
Non-local wave equation
Wave equations
Hyperbolic obstacle problem
Non-local wave equation
Minimizing movements
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Summary: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.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2019.06.008