Existence and uniqueness of solutions to Liouville equation
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910805846392832 |
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| author | Ataei, Alireza |
| author_facet | Ataei, Alireza |
| contents | We prove some general results on the existence and uniqueness of solutions to the Liouville equation. Then, we discuss the sharpness and possible generalizations. Finally, we give several applications, arising in both mathematics and physics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18234 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence and uniqueness of solutions to Liouville equation Ataei, Alireza Analysis of PDEs Mathematical Physics We prove some general results on the existence and uniqueness of solutions to the Liouville equation. Then, we discuss the sharpness and possible generalizations. Finally, we give several applications, arising in both mathematics and physics. |
| title | Existence and uniqueness of solutions to Liouville equation |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2501.18234 |