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math.AP2005★ 10 cited
Global well-posedness of the Benjamin-Ono equation in low-regularity spaces
Alexandru Ionescu, Carlos Kenig
We prove that the Benjamin-Ono initial value problem is globally well-posed in the Sobolev spaces , .
math.AP2004★ 1 cited
Agmon-Kato-Kuroda theorems for a large class of perturbations
Alexandru Ionescu, Wilhelm Schlag
We extend the classical Agmon theorem on asymptotic completeness of two body Schroedinger operators to cover a larger class of perturbations. This is accomplished by means of a sui…