Local well-posedness for the periodic Korteweg-de Vries equation in analytic Gevrey classes

DOI10.3934/cpaa.2012.11.1097zbMath1282.35338OpenAlexW2004351584MaRDI QIDQ1947907

Qifan Li

Publication date: 29 April 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2012.11.1097

zbMATH Keywords

generalized Korteweg-de Vries equationlocal well-posednessreal-analytic solutions

Mathematics Subject Classification ID

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

Related Items (12)

Global well-posedness for the nonlinear wave equation in analytic Gevrey spaces ⋮ A result on a Dirac-type equation in spaces of analytic functions ⋮ Fixed analytic radius lower bound for the dissipative KdV equation on the real line ⋮ On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation ⋮ On the radius of spatial analyticity for the quartic generalized KdV equation ⋮ Analyticity of the global attractor for damped forced periodic Korteweg-de Vries equation ⋮ Lower bounds on the radius of spatial analyticity for the higher order nonlinear dispersive equation on the real line ⋮ Global analytic solutions for the nonlinear Schrödinger equation ⋮ New lower bounds on the radius of spatial analyticity for the KdV equation ⋮ The Thirring model in spaces of analytic functions ⋮ Lower bounds on the radius of spatial analyticity for the KdV equation ⋮ Nondecreasing analytic radius for the KdV equation with a weakly damping

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