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

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

2006-01-10

arxiv.org/abs/math/0601215v1

Mathematics

Analysis of PDEs

27 pages

Scientific paper

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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