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arXiv · 2403.17802

Stabilization for degenerate equations with drift and small singular term

Genni Fragnelli·Dimitri Mugnai·Amine Sbai
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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.

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Genni Fragnelli, Dimitri Mugnai, Amine Sbai. 2024-03-26. Stabilization for degenerate equations with drift and small singular term. https://arxiv.org/abs/2403.17802

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