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On finite energy solutions of the KP-I equation

Analysis of PDEs 2007-05-23 v1

Abstract

We prove that the flow map of the Kadomtsev-Petviashvili-I (KP-I) equation is not uniformly continuous on bounded sets of the natural energy space.

Keywords

Cite

@article{arxiv.math/0603746,
  title  = {On finite energy solutions of the KP-I equation},
  author = {Herbert Koch and Nikolay Tzvetkov},
  journal= {arXiv preprint arXiv:math/0603746},
  year   = {2007}
}

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14 pages