Strict Lyapunov function for the one-dimensional linear wave equation with a locally distributed damping
arXiv:2607.13811
summary
The paper presents an explicit strict Lyapunov function to prove stability for the one‑dimensional linear wave equation with locally distributed damping and Dirichlet boundary conditions.
Abstract
We construct an explicit strict Lyapunov function for the one-dimensional linear wave equation with a locally distributed damping and Dirichlet boundary conditions.
Topics & keywords
#wave equation#lyapunov function#damping#boundary conditions#stabilitystrict Lyapunov functionone-dimensional linear wave equationlocally distributed dampingDirichlet boundary conditionsstability analysis