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On the Cauchy problem for higher-order nonlinear dispersive equations

Authors
  • Pilod, Didier
Type
Preprint
Publication Date
Aug 27, 2007
Submission Date
Aug 27, 2007
Identifiers
arXiv ID: 0708.3676
Source
arXiv
License
Unknown
External links

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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