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A rigidity property for a type of wave-Klein-Gordon system

Analysis of PDEs 2024-05-09 v1

Abstract

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

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Cite

@article{arxiv.2405.04730,
  title  = {A rigidity property for a type of wave-Klein-Gordon system},
  author = {Yan-Tao Li and Yue Ma},
  journal= {arXiv preprint arXiv:2405.04730},
  year   = {2024}
}

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29 pages