Linear stabilization for a degenerate wave equation in non divergence form with drift
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866912052307558400 |
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| author | Fragnelli, Genni Mugnai, Dimitri |
| author_facet | Fragnelli, Genni Mugnai, Dimitri |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_05264 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Linear stabilization for a degenerate wave equation in non divergence form with drift Fragnelli, Genni Mugnai, Dimitri Analysis of PDEs 35L80, 93D23, 93D15 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. |
| title | Linear stabilization for a degenerate wave equation in non divergence form with drift |
| topic | Analysis of PDEs 35L80, 93D23, 93D15 |
| url | https://arxiv.org/abs/2212.05264 |