English

Global well-posedness of the Kirchhoff equation and Kirchhoff systems

Analysis of PDEs 2014-12-30 v1

Abstract

This article is devoted to review the known results on global well-posedness for the Cauchy problem to the Kirchhoff equation and Kirchhoff systems with small data. Similar results will be obtained for the initial-boundary value problems in exterior domains with compact boundary. Also, the known results on large data problems will be reviewed together with open problems.

Keywords

Cite

@article{arxiv.1410.1945,
  title  = {Global well-posedness of the Kirchhoff equation and Kirchhoff systems},
  author = {Tokio Matsuyama and Michael Ruzhansky},
  journal= {arXiv preprint arXiv:1410.1945},
  year   = {2014}
}

Comments

arXiv admin note: text overlap with arXiv:1211.3009