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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.06613 |
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| _version_ | 1866911756292456448 |
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| author | Cui, Yan Xia, Bo |
| author_facet | Cui, Yan Xia, Bo |
| contents | In the previous work, we classified the solutions to a family of systems of Klein-Gordon equations with non-negative energy below the ground state into two parts: one blows up in finite time while the other extends to a global solution. In the present work, we strengthen this result, showing that these global solutions are indeed scattering in the energy space. Here we adapted Kenig-Merle's concentration-compactness approach to the system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_06613 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scattering property for a system of Klein-Gordon equations with energy below ground state Cui, Yan Xia, Bo Analysis of PDEs In the previous work, we classified the solutions to a family of systems of Klein-Gordon equations with non-negative energy below the ground state into two parts: one blows up in finite time while the other extends to a global solution. In the present work, we strengthen this result, showing that these global solutions are indeed scattering in the energy space. Here we adapted Kenig-Merle's concentration-compactness approach to the system. |
| title | Scattering property for a system of Klein-Gordon equations with energy below ground state |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2401.06613 |