Improved quasi-invariance result for the periodic Benjamin–Ono–BBM equation
Abstract
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.
Fields of Study & Subjects
Advanced Mathematical Physics Problems
Nonlinear Photonic Systems
Numerical methods for differential equations
Publication details
- Journal / source
- Journal of Evolution Equations
- Volume
- 26
- Issue
- 3
- Pages
- 93–93
- Publication date
- 26 August 2026
- Language
- EN