English

Initial boundary value problem for Korteweg-de Vries equation: a review and open problems

Analysis of PDEs 2021-07-26 v2

Abstract

In the last 40 years the study of initial boundary value problem for the Korteweg-de Vries equation has had the attention of researchers from various research fields. In this note we present a review of the main results about this topic and also introduce interesting open problems which still requires attention from the mathematical point of view.

Keywords

Cite

@article{arxiv.1810.02698,
  title  = {Initial boundary value problem for Korteweg-de Vries equation: a review and open problems},
  author = {Roberto de A. Capistrano-Filho and Shu-Ming Sun and Bing-Yu Zhang},
  journal= {arXiv preprint arXiv:1810.02698},
  year   = {2021}
}

Comments

11 pages. arXiv admin note: text overlap with arXiv:1703.08154

R2 v1 2026-06-23T04:29:43.726Z