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

Authors:	Alexandru D Ionescu Carlos E Kenig

Institution:	Department of Mathematics, University of Wisconsin, 480 Lincoln Drive, Van Vleck Hall, Madison, Wisconsin 53706 ; Department of Mathematics, University of Chicago, 5734 University Ave, Chicago, Illinois 60637-1514

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.

Keywords:	Benjamin--Ono initial-value problem global well-posedness local smoothing gauge transformation

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