English

Local well-posedness for the KdV hierarchy at high regularity

Analysis of PDEs 2015-10-01 v1

Abstract

We prove well-posedness in L2L^2-based Sobolev spaces HsH^s at high regularity for a class of nonlinear higher-order dispersive equations generalizing the KdV hierarchy both on the line and on the torus.

Keywords

Cite

@article{arxiv.1509.08977,
  title  = {Local well-posedness for the KdV hierarchy at high regularity},
  author = {Carlos Kenig and Didier Pilod},
  journal= {arXiv preprint arXiv:1509.08977},
  year   = {2015}
}

Comments

27 pages

R2 v1 2026-06-22T11:08:42.759Z