Asymptotic behavior of small solutions to the Vlasov--Klein--Gordon system in high dimensions
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866918417393516544 |
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| author | Lee, Ho |
| author_facet | Lee, Ho |
| contents | We study the asymptotic behavior of small solutions to the Vlasov--Klein--Gordon system in high dimensions. The standard argument of Glassey and Strauss \cite{GS87} for studying small solutions to the Vlasov--Maxwell system does not apply to the Vlasov--Klein--Gordon system due to the massiveness of the Klein--Gordon field. In this paper we use the vector field method and consider solutions in dimensions $ n \geq 4 $ with the hyperboloidal foliation of the Minkowski spacetime to obtain the asymptotic properties for the Vlasov--Klein--Gordon system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_28438 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Asymptotic behavior of small solutions to the Vlasov--Klein--Gordon system in high dimensions Lee, Ho Analysis of PDEs 35Q83, 35Q40 We study the asymptotic behavior of small solutions to the Vlasov--Klein--Gordon system in high dimensions. The standard argument of Glassey and Strauss \cite{GS87} for studying small solutions to the Vlasov--Maxwell system does not apply to the Vlasov--Klein--Gordon system due to the massiveness of the Klein--Gordon field. In this paper we use the vector field method and consider solutions in dimensions $ n \geq 4 $ with the hyperboloidal foliation of the Minkowski spacetime to obtain the asymptotic properties for the Vlasov--Klein--Gordon system. |
| title | Asymptotic behavior of small solutions to the Vlasov--Klein--Gordon system in high dimensions |
| topic | Analysis of PDEs 35Q83, 35Q40 |
| url | https://arxiv.org/abs/2603.28438 |