Improved quasi-invariance result for the periodic Benjamin-Ono-BBM equation
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929690385580032 |
|---|---|
| author | Forlano, Justin |
| author_facet | Forlano, Justin |
| contents | We extend recent results of Genovese-Luca-Tzvetkov (2022) regarding the quasi-invariance of Gaussian measures under the flow of the periodic Benjamin-Ono-BBM (BO-BBM) equation to the full range where BO-BBM is globally well-posed. The main difficulty is due to the critical nature of the dispersion which we overcome by combining the approach of Coe-Tolomeo (2024) with an iteration argument due to Forlano-Tolomeo (2024) to obtain long-time higher integrability bounds on the transported density. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17180 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Improved quasi-invariance result for the periodic Benjamin-Ono-BBM equation Forlano, Justin Analysis of PDEs Probability 35Q53, 76B15 We extend recent results of Genovese-Luca-Tzvetkov (2022) regarding the quasi-invariance of Gaussian measures under the flow of the periodic Benjamin-Ono-BBM (BO-BBM) equation to the full range where BO-BBM is globally well-posed. The main difficulty is due to the critical nature of the dispersion which we overcome by combining the approach of Coe-Tolomeo (2024) with an iteration argument due to Forlano-Tolomeo (2024) to obtain long-time higher integrability bounds on the transported density. |
| title | Improved quasi-invariance result for the periodic Benjamin-Ono-BBM equation |
| topic | Analysis of PDEs Probability 35Q53, 76B15 |
| url | https://arxiv.org/abs/2501.17180 |