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

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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.
27 pages

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Analysis of PDEs, 35A05; 35Q53

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http://salesiana.dossiersoluciones.com/handle/123456789/107470

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601215
 http://arxiv.org/abs/math/0601215

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arXiv