Spectral properties of the Kramers-Fokker-Planck operator with a long-range potential
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866916280051695616 |
|---|---|
| author | Wang, Xue Ping |
| author_facet | Wang, Xue Ping |
| contents | We study real resonances and embedded eigenvalues of the Kramers--Fokker--Planck operator with a long-range potential. We prove that thresholds are only possible accumulation points of eigenvalues and that the limiting absorption principle holds true for energies outside an exceptional set. We also prove that the eigenfunctions associated with discrete eigenvalues decay exponentially and those associated with embedded non-threshold ones decay polynomially. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05206 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spectral properties of the Kramers-Fokker-Planck operator with a long-range potential Wang, Xue Ping Analysis of PDEs Mathematical Physics Spectral Theory 35J10, 35P15, 47A55 We study real resonances and embedded eigenvalues of the Kramers--Fokker--Planck operator with a long-range potential. We prove that thresholds are only possible accumulation points of eigenvalues and that the limiting absorption principle holds true for energies outside an exceptional set. We also prove that the eigenfunctions associated with discrete eigenvalues decay exponentially and those associated with embedded non-threshold ones decay polynomially. |
| title | Spectral properties of the Kramers-Fokker-Planck operator with a long-range potential |
| topic | Analysis of PDEs Mathematical Physics Spectral Theory 35J10, 35P15, 47A55 |
| url | https://arxiv.org/abs/2406.05206 |