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Improved global well-posedness for the quartic Korteweg-de Vries equation

Analysis of PDEs 2024-04-25 v2
Authors: Simão Correia
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Abstract

We prove that the quartic Korteweg-de Vries equation is globally well-posed for real-valued initial data in Hs(R)H^s(\mathbb{R}), s>−1/24s>-1/24.

Keywords

quartic korteweg-de vries equation global well-posedness real-valued initial data sobolev spaces

Cite

@article{arxiv.2310.13497,
  title  = {Improved global well-posedness for the quartic Korteweg-de Vries equation},
  author = {Simão Correia},
  journal= {arXiv preprint arXiv:2310.13497},
  year   = {2024}
}

Comments

15 pages

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