Stability for degenerate wave equations with drift under simultaneous degenerate damping

作者：Mohammad Akil, G. Fragnelli, Ibtissam Issa · 发表于：Journal of Differential Equations · 年份：2023 · DOI：10.1016/j.jde.2024.10.022 · 被引用次数：13 · 研究领域：Mathematics

In this paper we study the stability of two different problems. The first one is a one-dimensional degenerate wave equation with degenerate damping, incorporating a drift term and a leading operator in non-divergence form. In the second problem we consider a system that couples degenerate and non-degenerate wave equations, connected through transmission, and subject to a single dissipation law at the boundary of the non-degenerate equation. In both scenarios, we derive exponential stability results.