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arXiv:0707.2722 [math.AP]AbstractReferencesReviewsResources

A remark on global well-posedness below L^2 for the gKdV-3 equation

Axel Gruenrock, Mahendra Panthee, Jorge Drumond Silva

Published 2007-07-18Version 1

The I-method in its first version as developed by Colliander et al. is applied to prove that the Cauchy-problem for the generalised Korteweg-de Vries equation of order three (gKdV-3) is globally well-posed for large real-valued data in the Sobolev space H^s, provided s>-1/42.

Comments: 6 pages
Categories: math.AP
Subjects: 35Q53
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