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arxiv: 1901.06974 · v2 · pith:A6V37C3Cnew · submitted 2019-01-21 · 🧮 math.AP

A variational scheme for hyperbolic obstacle problems

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keywords obstacleschemeapproachapproximationconsiderconvexcorrespondingdiscrete
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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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