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Global well-posedness of the Benjamin-Ono equation in low-regularity spaces

Author(s): Alexandru D. Ionescu; Carlos E. Kenig
Journal: J. Amer. Math. Soc. 20 (2007), 753-798.
MSC (2000): Primary 35Q53
Posted: October 24, 2006
MathSciNet review: 2291918
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: We prove that the Benjamin-Ono initial-value problem is globally well-posed in the Banach spaces $H^\sigma_r(\mathbb{R})$ , $\sigma\geq 0$ , of real-valued Sobolev functions.

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