Advances in Differential Equations

Local well-posedness for the KdV hierarchy at high regularity

Carlos E. Kenig and Didier Pilod

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

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

Article information

Source
Adv. Differential Equations Volume 21, Number 9/10 (2016), 801-836.

Dates
First available in Project Euclid: 14 June 2016

Permanent link to this document
https://projecteuclid.org/euclid.ade/1465912584

Mathematical Reviews number (MathSciNet)
MR3513119

Subjects
Primary: 35Q53: KdV-like equations (Korteweg-de Vries) [See also 37K10] 37K10: Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.) 35A01: Existence problems: global existence, local existence, non-existence 37K05: Hamiltonian structures, symmetries, variational principles, conservation laws 35E15: Initial value problems

Citation

Kenig, Carlos E.; Pilod, Didier. Local well-posedness for the KdV hierarchy at high regularity. Adv. Differential Equations 21 (2016), no. 9/10, 801--836. https://projecteuclid.org/euclid.ade/1465912584.


Export citation