Low regularity for the higher order nonlinear dispersive equation in Sobolev spaces of negative index
type: Item
instance of: scholarly article
title: Low regularity for the higher order nonlinear dispersive equation in Sobolev spaces of negative index
zbMATH Open document ID: 1421.35043
published in: Journal of Dynamics and Differential Equations
publication date: 2019-04-25T00:00:00Z
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 7047672
zbMATH Keywords: Fourier restriction norm method
zbMATH Keywords: well-posedness
Wikidata QID: Q115383451
author: Zai-Yun Zhang
author: Zhenhai Liu
author: Mingbao Sun
author: Songhua Li
MaRDI profile type: Publication
full work available at URL: s10884-018-9669-8
OpenAlex ID: W2801035063
cites work: Existence of periodic traveling wave solution to the forced generalized nearly concentric Korteweg-de Vries equation
cites work: Global well-posedness for KdV in Sobolev spaces of negative index
cites work: Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
cites work: Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
cites work: The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
cites work: A bilinear estimate with applications to the KdV equation
cites work: On the Cauchy Problem for the Generalized Korteweg-de Vries Equation
cites work: Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\)
cites work: Global existence of solutions for the Cauchy problem of the Kawahara equation with \(L^2\) initial data
cites work: Strichartz estimates for dispersive equations and solvability of the Kawahara equation
cites work: Global existence of solutions for the Kawahara equation in Sobolev spaces of negative indices
cites work: Low regularity solutions of two fifth-order KdV type equations
cites work: Well-posedness for the fifth-order shallow water equations
cites work: The Cauchy problem for the fifth order shallow water equation
cites work: Local and global existence of solutions to initial value problems of modified nonlinear Kawahara equations
cites work: The Cauchy problem for Kawahara equation in Sobolev spaces with low regularity
cites work: The Cauchy problem for the modified Kawahara equation in Sobolev spaces with low regularity
cites work: Global well-posedness and I method for the fifth order Korteweg-de Vries equation
cites work: Well-posedness and unique continuation property for the solutions to the generalized Kawahara equation below the energy space
cites work: Almost conservation laws and global rough solutions of the defocusing nonlinear wave equation on \(\mathbb R^2\)
cites work: Well‐posedness and unique continuation property for the generalized Ostrovsky equation with low regularity
cites work: On the unique continuation property for the modified Kawahara equation
cites work: Q5489942
cites work: Local and global existence of solutions of initial value problems of nonlinear Kaup-Kupershmidt equations
cites work: Higher-Order Nonlinear Dispersive Equations
cites work: On the Cauchy problem for higher-order nonlinear dispersive equations
cites work: Multilinear weighted convolution of \(L^2\) functions, and applications to nonlinear dispersive equations
cites work: Uniform decay estimates for a class of oscillatory integrals and applications
cites work: On the Cauchy problem for the generalized shallow water wave equation
cites work: Q3009497
cites work: Q3974678
cites work: Low regularity solution for a nonlocal perturbation of KdV equation
DOI: 10.1007/S10884-018-9669-8
description: scientific article; zbMATH DE number 7047672