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

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

2005-05-23

arxiv.org/abs/math/0505479v2

Mathematics

Analysis of PDEs

30 pages

Scientific paper

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.

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