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arXiv · 0707.2722

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

Axel Gruenrock·Mahendra Panthee·Jorge Drumond Silva
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Abstract

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.

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Axel Gruenrock, Mahendra Panthee, Jorge Drumond Silva. 2007-07-18. A remark on global well-posedness below L^2 for the gKdV-3 equation. https://arxiv.org/abs/0707.2722

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