A rigidity property for a type of wave-Klein-Gordon system
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917661242294272 |
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| author | Li, Yan-Tao Ma, Yue |
| author_facet | Li, Yan-Tao Ma, Yue |
| contents | In this paper we investigate the rigidity property of a wave component coupled in a wave-Klein-Gordon system. We prove that when the radiation field of the wave component vanishes at the null infinity, the initial data of this component also vanish, therefor there is no wave in the whole spacetime |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04730 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A rigidity property for a type of wave-Klein-Gordon system Li, Yan-Tao Ma, Yue Analysis of PDEs In this paper we investigate the rigidity property of a wave component coupled in a wave-Klein-Gordon system. We prove that when the radiation field of the wave component vanishes at the null infinity, the initial data of this component also vanish, therefor there is no wave in the whole spacetime |
| title | A rigidity property for a type of wave-Klein-Gordon system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2405.04730 |