Soliton resolution conjecture for the Benjamin-Ono equation in the sharp well-posedness space

Hong-Yu Pan, Shou-Fu Tian

We prove the soliton resolution conjecture for the Benjamin-Ono equation in the sharp well-posedness space $H^s\left(\mathbb{R}\right)$ for $s>-\frac{1}{2}$. This extends soliton resol…