English

Strict Lyapunov function for the one-dimensional linear wave equation with a locally distributed damping

Analysis of PDEs 2026-07-15 v1 Optimization and Control

Abstract

We construct an explicit strict Lyapunov function for the one-dimensional linear wave equation with a locally distributed damping and Dirichlet boundary conditions.

Cite

@article{arxiv.2607.13811,
  title  = {Strict Lyapunov function for the one-dimensional linear wave equation with a locally distributed damping},
  author = {Jean-Michel Coron},
  journal= {arXiv preprint arXiv:2607.13811},
  year   = {2026}
}