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.
Akil, M., Fragnelli, G., Issa, I. (2025). STABILITY FOR DEGENERATE WAVE EQUATIONS WITH DRIFT UNDER SIMULTANEOUS DEGENERATE DAMPING. JOURNAL OF DIFFERENTIAL EQUATIONS, 416(2), 1178-1221 [10.1016/j.jde.2024.10.022].
STABILITY FOR DEGENERATE WAVE EQUATIONS WITH DRIFT UNDER SIMULTANEOUS DEGENERATE DAMPING
Fragnelli, Genni
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2025-01-01
Abstract
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.
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https://hdl.handle.net/11365/1276394