A remark on the Cauchy problem for the Korteweg-de Vries equation on a periodic domain

zbMath0826.35114MaRDI QIDQ1891564

Bing-Yu Zhang

Publication date: 4 December 1995

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

Fréchet derivativesTaylor series expansionBourgain's approachperiodic solutions of the KdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dirichlet series, exponential series and other series in one complex variable (30B50)

Related Items (6)

Nonhomogeneous boundary value problems for the Korteweg-de Vries equation on a bounded domain ⋮ On the well-posedness, ill-posedness and norm-inflation for a higher order water wave model on a periodic domain ⋮ A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane ⋮ Well-posedness of a nonlinear boundary value problem for the Korteweg-de Vries equation on a bounded domain ⋮ Dynamics of solitary waves of the Rosenau-RLW equation ⋮ Local well-posedness of the coupled KdV-KdV systems on \(\mathbb{R}\)

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