On the Cauchy problem for higher-order nonlinear dispersive equations

Details On the Cauchy problem for higher-order nonlinear dispersive equations On the Cauchy problem for higher-order nonlinear dispersive equations

2007-08-27

arxiv.org/abs/0708.3676v1

Mathematics

Analysis of PDEs

27 pages

Scientific paper

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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