On the periodic KdV equation in weighted Sobolev spaces

DOI10.1016/j.anihpc.2008.03.004zbMath1177.35199OpenAlexW2036336984MaRDI QIDQ1030139

Jürgen Pöschel, Thomas Kappeler

Publication date: 1 July 2009

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/78869

zbMATH Keywords

weighted Sobolev spaceswell posednessperiodic KdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Transform methods (e.g., integral transforms) applied to PDEs (35A22)

Related Items (8)

Fixed analytic radius lower bound for the dissipative KdV equation on the real line ⋮ Tame majorant analyticity for the Birkhoff map of the defocusing nonlinear Schrödinger equation on the circle ⋮ On the wellposedness of the KdV equation on the space of pseudomeasures ⋮ Normal form coordinates for the KdV equation having expansions in terms of pseudodifferential operators ⋮ Global attractor for the weakly damped forced KdV equation in Sobolev spaces of low regularity ⋮ Nondecreasing analytic radius for the KdV equation with a weakly damping ⋮ Korteweg–de Vries and Fermi–Pasta–Ulam–Tsingou: asymptotic integrability of quasi unidirectional waves ⋮ On two-sided estimates for the nonlinear Fourier transform of KdV

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