Stabilization for degenerate equations with drift and small singular term

2024/03/26 by Fragnelli, Genni, Mugnai, Dimitri, Sbai, Amine
#35L10 #35L80 #35L81 #93D15 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2403.17802

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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