Uniqueness and stability of normalized ground states for Hartree equation with a harmonic potential
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911245965197312 |
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| author | Jiang, Yi Wang, Chenglin Xiao, Yibin Zhang, Jian Zhu, Shihui |
| author_facet | Jiang, Yi Wang, Chenglin Xiao, Yibin Zhang, Jian Zhu, Shihui |
| contents | The dynamic properties of normalized ground states for the Hartree equation with a harmonic potential are addressed. The existence of normalized ground state for any prescribed mass is confirmed according to mass-energy constrained variational approach. The uniqueness is shown by the strictly convex properties of the energy functional. Moreover, the orbital stability of every normalized ground state is proven in terms of the Cazenave and Lions' argument. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00533 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uniqueness and stability of normalized ground states for Hartree equation with a harmonic potential Jiang, Yi Wang, Chenglin Xiao, Yibin Zhang, Jian Zhu, Shihui Analysis of PDEs The dynamic properties of normalized ground states for the Hartree equation with a harmonic potential are addressed. The existence of normalized ground state for any prescribed mass is confirmed according to mass-energy constrained variational approach. The uniqueness is shown by the strictly convex properties of the energy functional. Moreover, the orbital stability of every normalized ground state is proven in terms of the Cazenave and Lions' argument. |
| title | Uniqueness and stability of normalized ground states for Hartree equation with a harmonic potential |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.00533 |