English

Stabilization for degenerate equations with drift and small singular term

Analysis of PDEs 2024-03-27 v1

Abstract

We consider a degenerate/singular 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.

Keywords

Cite

@article{arxiv.2403.17802,
  title  = {Stabilization for degenerate equations with drift and small singular term},
  author = {Genni Fragnelli and Dimitri Mugnai and Amine Sbai},
  journal= {arXiv preprint arXiv:2403.17802},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:2212.05264

R2 v1 2026-06-28T15:34:19.568Z