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

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...

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Bibliographic Details
Published inBulletin of mathematical sciences Vol. 15; no. 2
Main Authors Fragnelli, Genni, Mugnai, Dimitri
Format Journal Article
LanguageEnglish
Published World Scientific Publishing Company 01.08.2025
World Scientific Publishing
Subjects
Degenerate wave equation
drift
exponential decay
stabilization
Degenerate wave equation
exponential decay
stabilization
drift
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Summary: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.
ISSN:1664-3607
1664-3615
DOI:10.1142/S1664360725500018