A higher dispersion KdV equation on the line

DOI10.1016/j.na.2020.112055zbMath1450.35232OpenAlexW3042244102MaRDI QIDQ2199982

A. Alexandrou Himonas, Renata O. Figueira, Fangchi Yan

Publication date: 14 September 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2020.112055

zbMATH Keywords

Cauchy problemanalyticityBourgain spacesGevrey spaceshigher-order Korteweg-de Vries equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

The Korteweg-de Vries equation on the half-line with Robin and Neumann data in low regularity spaces ⋮ A higher dispersion KdV equation on the half-line ⋮ The Majda-Biello system on the half-line ⋮ Evolution of the radius of analyticity for the generalized Benjamin equation ⋮ Well-posedness of a higher dispersion KdV equation on the half-line ⋮ Lower bounds on the radius of analyticity for a system of modified KdV equations ⋮ A \(G^{\delta,1}\) almost conservation law for mCH and the evolution of its radius of spatial analyticity

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