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September/October 2016 Local well-posedness for the KdV hierarchy at high regularity
Carlos E. Kenig, Didier Pilod
Adv. Differential Equations 21(9/10): 801-836 (September/October 2016).

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.

Citation

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Carlos E. Kenig. Didier Pilod. "Local well-posedness for the KdV hierarchy at high regularity." Adv. Differential Equations 21 (9/10) 801 - 836, September/October 2016.

Information

Published: September/October 2016
First available in Project Euclid: 14 June 2016

zbMATH: 1375.35449
MathSciNet: MR3513119

Subjects:
Primary: 35A01 , 35E15 , 35Q53 , 37K05 , 37K10

Rights: Copyright © 2016 Khayyam Publishing, Inc.

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Vol.21 • No. 9/10 • September/October 2016
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