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Global wellposedness for KdV below \(L^2\)

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Publication:1574737
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DOI10.4310/MRL.1999.v6.n6.a13zbMath0959.35144MaRDI QIDQ1574737

Gigliola Staffilani, Hideo Takaoka, James E. Colliander

Publication date: 13 August 2000

Published in: Mathematical Research Letters (Search for Journal in Brave)


zbMATH Keywords

initial value problemKorteweg-de Vries equationglobal wellposedness


Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)


Related Items

Long-time dynamics of variable coefficient modified Korteweg-de Vries solitary waves, Global existence for the critical generalized KdV equation, Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋, Global smoothing for the periodic Benjamin equation in low-regularity spaces, White noise driven Korteweg-de Vries equation, Global well-posedness for gKdV-3 in Sobolev spaces of negative index, Cauchy problem for a model of nonlinear waves generated in viscous films, Global solutions of the Klein-Gordon-Schrödinger system with rough data in \(\mathbb {R}^{2+1}\), Long‐time dynamics of KdV solitary waves over a variable bottom, Multilinear estimates for periodic KdV equations, and applications, One smoothing property of the scattering map of the KdV on \(\mathbb{R}\)



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