Journal of the American Mathematical Society

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
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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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Retrieve articles in Journal of the American Mathematical Society with MSC (2000): 35Q53

Alexandru D. Ionescu
Affiliation: Department of Mathematics, University of Wisconsin, 480 Lincoln Drive, Van Vleck Hall, Madison, Wisconsin 53706
Email: ionescu@math.wisc.edu

Carlos E. Kenig
Affiliation: Department of Mathematics, University of Chicago, 5734 University Ave, Chicago, Illinois 60637-1514
Email: cek@math.uchicago.edu

DOI: 10.1090/S0894-0347-06-00551-0
PII: S 0894-0347(06)00551-0
Keywords: Benjamin--Ono initial-value problem, global well-posedness, local smoothing, gauge transformation
Received by editor(s): October 10, 2005
Posted: October 24, 2006
Additional Notes: The first author was supported in part by an NSF grant, a Sloan Research Fellowship, and a Packard Fellowship.
The second author was supported in part by an NSF grant.
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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ISSN: 1088-6834(e) ISSN: 0894-0347(p)

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