Stabilization for degenerate equations with drift and small singular term
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910384499195904 |
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| author | Fragnelli, Genni Mugnai, Dimitri Sbai, Amine |
| author_facet | Fragnelli, Genni Mugnai, Dimitri Sbai, Amine |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17802 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stabilization for degenerate equations with drift and small singular term Fragnelli, Genni Mugnai, Dimitri Sbai, Amine Analysis of PDEs 35L10, 35L80, 35L81, 93D15 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. |
| title | Stabilization for degenerate equations with drift and small singular term |
| topic | Analysis of PDEs 35L10, 35L80, 35L81, 93D15 |
| url | https://arxiv.org/abs/2403.17802 |