The Cauchy problem for the modified Kawahara equation in Sobolev spaces with low regularity

DOI10.1016/j.mcm.2011.03.036zbMath1228.35208OpenAlexW2007779322MaRDI QIDQ652849

Wei Yan, Xingyu Yang, Yongsheng Li

Publication date: 18 December 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.03.036

zbMATH Keywords

Sobolev spacesCauchy problemglobal well-posednessBourgain spacesmodified Kawahara equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (10)

New exact solutions of space and time fractional modified Kawahara equation ⋮ Bell-shaped soliton solutions and travelling wave solutions of the fifth-order nonlinear modified Kawahara equation ⋮ Biorthogonal functions for complex exponentials and an application to the controllability of the Kawahara equation via a moment approach ⋮ Lower bounds on the radius of spatial analyticity for the higher order nonlinear dispersive equation on the real line ⋮ Low regularity for the higher order nonlinear dispersive equation in Sobolev spaces of negative index ⋮ Well‐posedness and unique continuation property for the generalized Ostrovsky equation with low regularity ⋮ Well-posedness of the classical solutions for a Kawahara-Korteweg-de Vries-type equation ⋮ Well-posedness and unique continuation property for the solutions to the generalized Kawahara equation below the energy space ⋮ Well-posedness issues on the periodic modified Kawahara equation ⋮ Local well-posedness of the fifth-order KdV-type equations on the half-line

Cites Work

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