Sharp Kato smoothing properties of weakly dissipated KdV equations with variable coefficients on a periodic domain
type: Item
instance of: scholarly article
title: Sharp Kato smoothing properties of weakly dissipated KdV equations with variable coefficients on a periodic domain
zbMATH Open document ID: 1502.35148
author: Xin Yang
author: Bing-Yu Zhang
author: Ning Zhong
author: Shu-Ming Sun
published in: Discrete and Continuous Dynamical Systems
publication date: 2022-11-22T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 7621933
zbMATH Keywords: sharp Kato smoothing
zbMATH Keywords: weakly dissipated KdV equations
zbMATH Keywords: periodic solutions
MaRDI profile type: Publication
full work available at URL: dcds.2022140
OpenAlex ID: W4313179197
cites work: Well-posedness of fully nonlinear KdV-type evolution equations
cites work: Dispersion vs. anti-diffusion: Well-posedness in variable coefficient and quasilinear equations of KdV-type
cites work: A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane
cites work: A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
cites work: Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications
cites work: Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane
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: Boundary controllability of the Korteweg-de Vries equation on a bounded domain
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: THE GENERALIZED KORTEWEG–DE VRIES EQUATION ON THE HALF LINE
cites work: Local Smoothing Properties of Dispersive Equations
cites work: Control and stabilization of the periodic fifth order Korteweg-de Vries equation
cites work: The Initial-Boundary Value Problem for the Korteweg–de Vries Equation
cites work: The initial-boundary-value problem for the 1D nonlinear Schrödinger equation on the half-line.
cites work: Boundary stabilization of the Korteweg-de Vries equation and the Korteweg-de Vries-Burgers equation
cites work: On the Korteweg-de Vries equation
cites work: Q3342896
cites work: On the (generalized) Korteweg-de Vries equation
cites work: Q3974678
cites work: Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
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: Control and stabilization of the Benjamin-Ono equation on a periodic domain
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Control and stabilization of the Korteweg-de Vries equation: recent progresses
cites work: Smoothing and decay properties of solutions of the Korteweg-de Vries equation on a periodic domain with point dissipation
cites work: Regularity of solutions to the Schrödinger equation
cites work: On sharpness of the local Kato-smoothing property for dispersive wave equations
cites work: Kato smoothing properties of a class of nonlinear dispersive wave equations on a periodic domain
cites work: Interpolation non linéaire et régularité
DOI: 10.3934/DCDS.2022140
description: scientific article; zbMATH DE number 7621933