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arXiv:math/0505479 [math.AP]AbstractReferencesReviewsResources

Global well-posedness in the Energy space for the Benjamin-Ono equation on the circle

Luc Molinet

Published 2005-05-23, updated 2005-07-28Version 2

We prove that the Benjamin-Ono equation is well-posed in $ H^{1/2}(\T) $. This leads to a global well-posedness result in $ H^{1/2}(\T) $ thanks to the energy conservation.

Comments: 30 pages
Categories: math.AP
Subjects: 35A05, 35Q53
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