English

A variational scheme for hyperbolic obstacle problems

Analysis of PDEs 2019-01-24 v2

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.

Keywords

Cite

@article{arxiv.1901.06974,
  title  = {A variational scheme for hyperbolic obstacle problems},
  author = {Mauro Bonafini and Matteo Novaga and Giandomenico Orlandi},
  journal= {arXiv preprint arXiv:1901.06974},
  year   = {2019}
}

Comments

20 pages, 2 figures

R2 v1 2026-06-23T07:17:37.997Z