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

Published 10 Jan 2006 in math.AP | (0601215v1)

Abstract: We prove the local well posedness of the Benjamin-Ono equation and the generalized Benjamin-Ono equation in $ H1(\T) $. This leads to a global well-posedness result in $ H1(\T)$ for the Benjamin-Ono equation.

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