Effect of lower order terms on the well-posedness of Majda-Biello systems
type: Item
instance of: scholarly article
title: Effect of lower order terms on the well-posedness of Majda-Biello systems
author: Xin Yang
author: Shenghao Li
author: Bing-Yu Zhang
published in: Journal of Evolution Equations
publication date: 2025-01-24T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35G55
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 7974261
zbMATH Keywords: KdV-KdV systems
zbMATH Keywords: Majda-Biello systems
zbMATH Keywords: local well-posedness
zbMATH Keywords: Fourier restriction spaces
zbMATH Keywords: bilinear estimates
MaRDI profile type: Publication
cites work: On the local well-posedness for some systems of coupled KdV equations
cites work: On strongly interacting internal solitary waves
cites work: Weak solvability and well-posedness of a coupled Schrödinger-Korteweg de Vries equation for capillary-gravity wave interactions
cites work: The initial-value problem for the Korteweg-de Vries equation
cites work: A model system for strong interaction between internal solitary waves
cites work: Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
cites work: Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
cites work: Periodic Korteweg-de Vries equation with measures as initial data
cites work: Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
cites work: Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
cites work: Smoothing and global attractors for the Zakharov system on the torus
cites work: Regularity properties of the cubic nonlinear Schrödinger equation on the half line
cites work: Global well-posedness of the initial value problem for the Hirota-Satsuma system
cites work: Weak and Strong Interactions between Internal Solitary Waves
cites work: Global wellposedness of KdV in \(H^{-1}(\mathbb T,\mathbb R)\)
cites work: Q3342896
cites work: Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
cites work: The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
cites work: Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
cites work: A bilinear estimate with applications to the KdV equation
cites work: KdV is well-posed in \(H^{-1}\)
cites work: On the Cauchy problem for a coupled system of KdV equations
cites work: A note on ill posedness for the KdV equation.
cites work: Sharp ill-posedness results for the KdV and mKdV equations on the torus
cites work: Diophantine Conditions in Well-Posedness Theory of Coupled KdV-Type Systems: Local Theory
cites work: On a model system for the oblique interaction of internal gravity waves
cites work: On the Korteweg - de Vries equation: Existence and uniqueness
cites work: Multilinear weighted convolution of \(L^2\) functions, and applications to nonlinear dispersive equations
cites work: Sur un problème non linéaire
cites work: Local well-posedness of the coupled KdV-KdV systems on \(\mathbb{R}\)
DOI: 10.1007/S00028-024-01022-0
description: scientific article; zbMATH DE number 7974261