Note on Boundary Stabilization of Degenerate Schrödinger Equations
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911376207773696 |
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| author | Benaissa, Abdelkader Benaissa, Abbes |
| author_facet | Benaissa, Abdelkader Benaissa, Abbes |
| contents | A degenerate Schrödinger equation under fractional integral damping is considered. Here the damping term is singular and not integrable and we consider the two cases when damping acting on the degenerate boundary and nondegenerate boundary. In this paper, we establish polynomial energy decay rates for the degenerate Schrödinger equation by using resolvent estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09475 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Note on Boundary Stabilization of Degenerate Schrödinger Equations Benaissa, Abdelkader Benaissa, Abbes Analysis of PDEs 35B40, 35Q41 A degenerate Schrödinger equation under fractional integral damping is considered. Here the damping term is singular and not integrable and we consider the two cases when damping acting on the degenerate boundary and nondegenerate boundary. In this paper, we establish polynomial energy decay rates for the degenerate Schrödinger equation by using resolvent estimates. |
| title | Note on Boundary Stabilization of Degenerate Schrödinger Equations |
| topic | Analysis of PDEs 35B40, 35Q41 |
| url | https://arxiv.org/abs/2601.09475 |