Justin Forlano

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 critic...