Abstract
We study the generalized Benjamin–Ono equation ∂ tu+ H∂ 2 xu+u k∂ xu=0 , k⩾2. In the context of small initial data we prove local and global well-posedness results in Sobolev and in Besov spaces. Our results turn out to be almost sharp for k≠3.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
