Article ID Journal Published Year Pages File Type
4591257 Journal of Functional Analysis 2009 29 Pages PDF
Abstract

We prove the discontinuity for the weak L2(T)-topology of the flow-map associated with the periodic Benjamin–Ono equation. This ensures that this equation is ill-posed in Hs(T) as soon as s<0 and thus completes exactly the well-posedness result obtained in Molinet (2008) [12].

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory