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

Luc Molinet·Francis Ribaud
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Abstract

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.

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Luc Molinet, Francis Ribaud. 2006-01-10. Well-posedness in H^1 for the (generalized) Benjamin-Ono equation on the circle. https://arxiv.org/abs/math/0601215

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