On the stability of degenerate Schrödinger equation under boundary fractional damping
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866915707126546432 |
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| author | Chouaou, Fatiha Benaissa, Abbes |
| author_facet | Chouaou, Fatiha Benaissa, Abbes |
| contents | In this paper we study the well-posedness and stability of degenerate Schrödinger equation with a fractional boundary damping. First, we establish the well-posedness of the degenerate problem $ψ_t(x,t)-\imath(τ(x) ψ_x(x,t))_x=0, \hbox{ with } x \in (0,1)$, controlled by Dirichlet-Neumann conditions. Then, exponential and polynomial decay rate of the solution are established using multiplier method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_01286 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the stability of degenerate Schrödinger equation under boundary fractional damping Chouaou, Fatiha Benaissa, Abbes Analysis of PDEs 35B40, 35Q41, 35P15 In this paper we study the well-posedness and stability of degenerate Schrödinger equation with a fractional boundary damping. First, we establish the well-posedness of the degenerate problem $ψ_t(x,t)-\imath(τ(x) ψ_x(x,t))_x=0, \hbox{ with } x \in (0,1)$, controlled by Dirichlet-Neumann conditions. Then, exponential and polynomial decay rate of the solution are established using multiplier method. |
| title | On the stability of degenerate Schrödinger equation under boundary fractional damping |
| topic | Analysis of PDEs 35B40, 35Q41, 35P15 |
| url | https://arxiv.org/abs/2601.01286 |