Correction: ``Global well-posedness for the KP-I equation

DOI10.1007/s00208-003-0506-xzbMath1055.35103OpenAlexW2120450314MaRDI QIDQ1434171

Luc Molinet, Nickolay Tzvetkov, Jean Claude Saut

Publication date: 1 July 2004

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-003-0506-x

zbMATH Keywords

Fourier transformSobolev inequalityLittlewood-Paley decompositionHörmander-Mikhlin multiplier

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) A priori estimates in context of PDEs (35B45)

Related Items (13)

The Cauchy Problem for the Fractional Kadomtsev--Petviashvili Equations ⋮ The Cauchy problem for the rotation-modified Kadomtsev-Petviashvili type equation ⋮ The Cauchy problem for a two-dimensional generalized Kadomtsev–Petviashvili-I equation in anisotropic Sobolev spaces ⋮ Well-posedness of the Kadomtsev-Petviashvili-II in the negative Sobolev space with respect to y direction ⋮ Global well-posedness for the KP-II equation on the background of a non-localized solution ⋮ Global well-posedness of the KP-I initial-value problem in the energy space ⋮ Recent Progress on the Global Well-Posedness of the KPI Equation ⋮ On the local and global well-posedness theory for the KP-I equation ⋮ On the local regularity of the KP-I equation in anisotropic Sobolev space ⋮ Low regularity for the fifth order Kadomtsev-Petviashvili-I type equation ⋮ Local well-posedness of KP-I initial value problem on torus in the Besov space ⋮ Kadomtsev-Petviashvili Equation Revisited and Integrability in 4 + 2 and 3 + 1 ⋮ Local regularity and decay estimates of solitary waves for the rotation-modified Kadomtsev-Petviashvili equation

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