Unconditional deep-water limit of the intermediate long wave equation in
low-regularity
Unconditional deep-water limit of the intermediate long wave equation in
low-regularity
In this paper, we establish the unconditional deep-water limit of the intermediate long wave equation (ILW) to the Benjamin-Ono equation (BO) in low-regularity Sobolev spaces on both the real line and the circle. Our main tool is new unconditional uniqueness results for ILW in $H^s$ when $s_0<s\leq \frac 14$ on …