Existence of multisoliton solutions of the gravitational Hartree equation in three dimensions
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915779329392640 |
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| author | Wu, Yutong |
| author_facet | Wu, Yutong |
| contents | We prove the existence of multisoliton solutions of the three-dimensional gravitational Hartree equation whose trajectories follow many body dynamics of hyperbolic, parabolic or hyperbolic-parabolic types. This work generalizes and improves the result of Krieger-Martel-Raphaël on two-soliton solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18686 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence of multisoliton solutions of the gravitational Hartree equation in three dimensions Wu, Yutong Analysis of PDEs Mathematical Physics Primary: 35B40. Secondary: 35Q55 We prove the existence of multisoliton solutions of the three-dimensional gravitational Hartree equation whose trajectories follow many body dynamics of hyperbolic, parabolic or hyperbolic-parabolic types. This work generalizes and improves the result of Krieger-Martel-Raphaël on two-soliton solutions. |
| title | Existence of multisoliton solutions of the gravitational Hartree equation in three dimensions |
| topic | Analysis of PDEs Mathematical Physics Primary: 35B40. Secondary: 35Q55 |
| url | https://arxiv.org/abs/2407.18686 |