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Stabilization for degenerate equations with drift and small singular term
  • Genni Fragnelli,
  • Dimitri Mugnai,
  • Amine SBAI
Genni Fragnelli
Universita degli Studi della Tuscia Dipartimento di Scienze Ecologiche e Biologiche
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Dimitri Mugnai
Universita degli Studi della Tuscia Dipartimento di Scienze Ecologiche e Biologiche

Corresponding Author:[email protected]

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Amine SBAI
Universite Hassan 1er Faculte des Sciences et Techniques Settat
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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.
29 Mar 2024Submitted to Mathematical Methods in the Applied Sciences
05 Apr 2024Review(s) Completed, Editorial Evaluation Pending
07 Apr 2024Reviewer(s) Assigned
08 Aug 20241st Revision Received
08 Aug 2024Submission Checks Completed
08 Aug 2024Assigned to Editor
08 Aug 2024Review(s) Completed, Editorial Evaluation Pending
09 Aug 2024Reviewer(s) Assigned
21 Oct 2024Editorial Decision: Accept