Spectrum of the linearized Vlasov--Poisson equation around steady states from galactic dynamics
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866916201855188992 |
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| author | Moreno, Matias Rioseco, Paola Bosch, Hanne Van Den |
| author_facet | Moreno, Matias Rioseco, Paola Bosch, Hanne Van Den |
| contents | We study the linearized Vlasov-Poisson equation in the gravitational case around steady states that are decreasing and continuous functions of the energy. We identify the absolutely continuous spectrum and give criteria for the existence of oscillating modes and estimate their number. Our method allows us to take into account an attractive external potential. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2305_05749 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Spectrum of the linearized Vlasov--Poisson equation around steady states from galactic dynamics Moreno, Matias Rioseco, Paola Bosch, Hanne Van Den Mathematical Physics Astrophysics of Galaxies Analysis of PDEs Spectral Theory 35Q83, 35Q85, 35P15, 70K20 We study the linearized Vlasov-Poisson equation in the gravitational case around steady states that are decreasing and continuous functions of the energy. We identify the absolutely continuous spectrum and give criteria for the existence of oscillating modes and estimate their number. Our method allows us to take into account an attractive external potential. |
| title | Spectrum of the linearized Vlasov--Poisson equation around steady states from galactic dynamics |
| topic | Mathematical Physics Astrophysics of Galaxies Analysis of PDEs Spectral Theory 35Q83, 35Q85, 35P15, 70K20 |
| url | https://arxiv.org/abs/2305.05749 |