Nonlinear wave interactions for the Benjamin-Ono equation

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We study the interaction of suitable small and high frequency waves evolving by the flow of the Benjamin-Ono equation. As a consequence, we prove that the flow map of the Benjamin-Ono equation can not be uniformly continuous on bounded sets of H^s(R) for s>0.
13 pages

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Analysis of PDEs, 35Q55;37K10

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http://salesiana.dossiersoluciones.com/handle/123456789/73297

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411434
 http://arxiv.org/abs/math/0411434

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arXiv