Linear stabilization for a degenerate wave equation in non divergence form with drift
Analysis of PDEs
2024-10-02 v3
Abstract
We consider a degenerate wave equation in one dimension, with drift and in presence of a leading operator which is not in divergence form. We impose a homogeneous Dirichlet boundary condition where the degeneracy occurs and a boundary damping at the other endpoint. We provide some conditions for the uniform exponential decay of solutions for the associated Cauchy problem.
Cite
@article{arxiv.2212.05264,
title = {Linear stabilization for a degenerate wave equation in non divergence form with drift},
author = {Genni Fragnelli and Dimitri Mugnai},
journal= {arXiv preprint arXiv:2212.05264},
year = {2024}
}