On the Cauchy problem for higher-order nonlinear dispersive equations

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We study a class of higher-order KdV equations. We show that the associated initial value problem is well posed in weighted Besov and Sobolev spaces for small initial data. We also prove ill-posedness results when in H^s(\R), for any real s.
27 pages

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Analysis of PDEs, 35Q53

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http://salesiana.dossiersoluciones.com/handle/123456789/136816

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.3676
 http://arxiv.org/abs/0708.3676

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arXiv