Sharp well-posedness for the Benjamin equation

DOI10.1016/j.na.2011.06.002zbMath1229.35241arXiv0910.5157OpenAlexW1501252588MaRDI QIDQ640148

Zihua Guo, Chen, Wengu, Jie Xiao

Publication date: 17 October 2011

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/0910.5157

zbMATH Keywords

local and global well-posednessbilinear estimateBourgain spaceBenjamin equation

Mathematics Subject Classification ID

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

Related Items (11)

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 ⋮ Control and stabilization for the dispersion generalized Benjamin equation on the circle ⋮ Evolution of the radius of analyticity for the generalized Benjamin equation ⋮ On uniqueness results for solutions of the Benjamin equation ⋮ Global smoothing for the periodic Benjamin equation in low-regularity spaces ⋮ Analysis of Malmquist-Takenaka-Christov rational approximations with applications to the nonlinear Benjamin equation ⋮ Global well-posedness of the two-dimensional Benjamin equation in the energy space ⋮ On the controllability and stabilization of the linearized Benjamin equation on a periodic domain ⋮ On the controllability and stabilization of the Benjamin equation on a periodic domain ⋮ Local well-posedness for periodic Benjamin equation with small initial data

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