The Existence of Full-Dimensional KAM tori for one-dimensional nonlinear Klein-Gordon equation
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909606412812288 |
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| author | Cong, Hongzi Li, Siming Wu, Xiaoqing |
| author_facet | Cong, Hongzi Li, Siming Wu, Xiaoqing |
| contents | In this paper, we investigate the almost-periodic solutions for the one-dimensional nonlinear Klein-Gordon equation within the non-relativistic limit under periodic boundary conditions. Specifically, by employing the method introduced in \cite{Bourgain2005JFA}, we establish the existence and linear stability of full-dimensional tori with subexponential decay for the equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_06526 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Existence of Full-Dimensional KAM tori for one-dimensional nonlinear Klein-Gordon equation Cong, Hongzi Li, Siming Wu, Xiaoqing Dynamical Systems Analysis of PDEs In this paper, we investigate the almost-periodic solutions for the one-dimensional nonlinear Klein-Gordon equation within the non-relativistic limit under periodic boundary conditions. Specifically, by employing the method introduced in \cite{Bourgain2005JFA}, we establish the existence and linear stability of full-dimensional tori with subexponential decay for the equation. |
| title | The Existence of Full-Dimensional KAM tori for one-dimensional nonlinear Klein-Gordon equation |
| topic | Dynamical Systems Analysis of PDEs |
| url | https://arxiv.org/abs/2505.06526 |