Linear stabilization for a degenerate wave equation in non divergence form with drift

2022/12/10 by Fragnelli, Genni, Mugnai, Dimitri
#35L80 #93D15 #93D23 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2212.05264

Abstract

We consider a degenerate 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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