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arXiv:math/0601215 [math.AP]AbstractReferencesReviewsResources

Well-posedness in H^1 for the (generalized) Benjamin-Ono equation on the circle

Luc Molinet, Francis Ribaud

Published 2006-01-10Version 1

We prove the local well posedness of the Benjamin-Ono equation and the generalized Benjamin-Ono equation in $ H^1(\T) $. This leads to a global well-posedness result in $ H^1(\T)$ for the Benjamin-Ono equation.

Comments: 27 pages
Categories: math.AP
Subjects: 35A05, 35Q53
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