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arXiv · 0708.3676

On the Cauchy problem for higher-order nonlinear dispersive equations

Didier Pilod
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Abstract

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.

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Didier Pilod. 2007-08-27. On the Cauchy problem for higher-order nonlinear dispersive equations. https://arxiv.org/abs/0708.3676

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