Global well-posedness for the Benjamin equation in low regularity

DOI10.1016/J.NA.2010.04.068zbMath1197.35241arXiv0910.4533OpenAlexW2963150082MaRDI QIDQ988808

Yifei Wu, Yongsheng Li

Publication date: 19 August 2010

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

Full work available at URL: https://arxiv.org/abs/0910.4533

zbMATH Keywords

global well-posednessBourgain space\(I\)-methodBenjamin equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

Sharp global well-posedness of the BBM equation in \(L^p\) type Sobolev spaces ⋮ On the propagation of regularity and decay of solutions to the Benjamin equation ⋮ Sharp well-posedness of the Cauchy problem for a generalized Ostrovsky equation with positive dispersion ⋮ On uniqueness results for solutions of the Benjamin equation ⋮ Sharp well-posedness for the Benjamin equation ⋮ Analysis of Malmquist-Takenaka-Christov rational approximations with applications to the nonlinear Benjamin equation ⋮ The Cauchy problem for the Ostrovsky equation with positive dispersion

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