Report
Improved quasi-invariance result for the periodic Benjamin-Ono-BBM equation
| العنوان: | Improved quasi-invariance result for the periodic Benjamin-Ono-BBM equation |
|---|---|
| المؤلفون: | Forlano, Justin |
| سنة النشر: | 2025 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Mathematics - Probability, 35Q53, 76B15 |
| الوصف: | 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. Comment: 21 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2501.17180 |
| رقم الانضمام: | edsarx.2501.17180 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |