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.
Fragnelli, G., Mugnai, D., Sbai, A. (2025). Stabilization for degenerate equations with drift and small singular term. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 48(4), 5086-5109 [10.1002/mma.10593].
Stabilization for degenerate equations with drift and small singular term
Fragnelli, Genni;
2025-01-01
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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https://hdl.handle.net/11365/1276641