Large data global existence for coupled massive-massless wave-type systems
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911912316370944 |
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| author | Cai, Yuan Dong, Shijie Li, Kuijie Zhao, Jingya |
| author_facet | Cai, Yuan Dong, Shijie Li, Kuijie Zhao, Jingya |
| contents | We consider 3D Klein-Gordon-Zakharov (KGZ) and Dirac-Klein-Gordon (DKG) systems, where a common feature is that there exist both massless and massive fields in each system. We establish global existence and asymptotic behavior for both systems with a class of large data. More precisely, in the KGZ system, we allow the massless field to be large, while in the DKG system we allow the massive field to be large. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05762 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Large data global existence for coupled massive-massless wave-type systems Cai, Yuan Dong, Shijie Li, Kuijie Zhao, Jingya Analysis of PDEs Mathematical Physics We consider 3D Klein-Gordon-Zakharov (KGZ) and Dirac-Klein-Gordon (DKG) systems, where a common feature is that there exist both massless and massive fields in each system. We establish global existence and asymptotic behavior for both systems with a class of large data. More precisely, in the KGZ system, we allow the massless field to be large, while in the DKG system we allow the massive field to be large. |
| title | Large data global existence for coupled massive-massless wave-type systems |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2406.05762 |