Global well-posedness for KdV in Sobolev Spaces of negative index

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The initial value problem for the Korteweg-deVries equation on the line is shown to be globally well-posed for rough data. In particular, we show global well-posedness for initial data in H^s({\mathbb{R}), -3/10<s.
5 pages. Electronic Journal of Differential equations (submitted)

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Analysis of PDEs, 35Q53, 42B35, 37K10

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http://salesiana.dossiersoluciones.com/handle/123456789/60861

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0101261
 http://arxiv.org/abs/math/0101261

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arXiv