Well-posedness for the Cauchy problem to the Hirota equation in Sobolev spaces of negative indices

DOI10.1142/S0252959905000075zbMath1067.35087MaRDI QIDQ1774261

Yueling Jia, Zhaohui Huo

Publication date: 29 April 2005

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

zbMATH Keywords

global well-posednessmodified KdV equationFourier restriction normHirota equationlow regularitynonlinear derivative Schrödinger equationtrilinear estimates

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Related Items (3)

Initial-boundary value problem for the Hirota equation posed on a finite interval ⋮ Well-posedness for the fifth-order shallow water equations ⋮ Well-posedness of the initial-boundary value problem for the Hirota equation on the half line

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