Ill-posedness issues for nonlinear dispersive equations

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These notes are devoted to the notion of well-posedness of the Cauchy problem for nonlinear dispersive equations. We present recent methods for proving ill-posedness type results for dispersive PDE's. The common feature in the analysis is that the proof of such results requires the construction of high frequency approximate solutions on small time intervals (possibly depending on the frequency).
Notes based on a course given at Hokkaido University in September 2004

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Analysis of PDEs, 35Q53, 35A07, 35B30

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http://salesiana.dossiersoluciones.com/handle/123456789/123124

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411455
 http://arxiv.org/abs/math/0411455
 GAKUTO International Series Mathematical Sciences and Applications, Volume 27 September, 2006

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arXiv