A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II.
type: Item
instance of: scholarly article
title: A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II.
zbMATH Open document ID: 1181.35228
author: Jerry L. Bona
author: Shu-Ming Sun
author: Bing-Yu Zhang
published in: Journal of Differential Equations
publication date: 2009-11-18T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 5634872
zbMATH Keywords: Korteweg-de Vries equation
zbMATH Keywords: well-posedness
zbMATH Keywords: initial-boundary-value problem
zbMATH Keywords: boundary smoothing
MaRDI profile type: Publication
full work available at URL: j.jde.2009.07.010
OpenAlex ID: W1975047411
cites work: Q5677182
cites work: Comparison of quarter-plane and two-point boundary value problems: the KdV-equation
cites work: An initial- and boundary-value problem for a model equation for propagation of long waves
cites work: Q4315839
cites work: An evaluation of a model equation for water waves
cites work: Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces
cites work: The initial-value problem for the Korteweg-de Vries equation
cites work: A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane
cites work: Forced Oscillations of a Damped 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: Conditional and unconditional well-posedness for nonlinear evolution equations
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: The Korteweg–de Vries Equation, Posed in a Quarter-Plane
cites work: The Korteweg-de Vries equation in a quarter plane, continuous dependence results
cites work: Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
cites work: Q3855607
cites work: Q3897401
cites work: An initial-boundary value problem for the Korteweg-de Vries equation posed on a finite interval
cites work: THE GENERALIZED KORTEWEG–DE VRIES EQUATION ON THE HALF LINE
cites work: Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
cites work: Nonuniqueness and Uniqueness in the Initial-Value Problem for Burgers’ Equation
cites work: Q3687120
cites work: Q3487912
cites work: Mixed problems for the Korteweg-de Vries equation
cites work: An Initial Boundary-Value Problem in a Half-Strip for the Korteweg–De Vries Equation in Fractional-Order Sobolev Spaces
cites work: Global well-posedness of two initial-boundary-value problems for the Korteweg-de Vries equation.
cites work: The Initial-Boundary Value Problem for the Korteweg–de Vries Equation
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: 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: Q4781489
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
cites work: Controllability and Stabilizability of the Third-Order Linear Dispersion Equation on a Periodic Domain
cites work: Smoothing and decay properties of solutions of the Korteweg-de Vries equation on a periodic domain with point dissipation
cites work: Exact controllability and stabilizability of the Korteweg-de Vries equation
cites work: Remarks on the Korteweg-de Vries equation
cites work: The Korteweg–de Vries Equation on a Periodic Domain with Singular-Point Dissipation
cites work: Q4315470
cites work: Analyticity of Solutions of the Generalized Korteweg–de Vries Equation with Respect to Their Initial Values
DOI: 10.1016/J.JDE.2009.07.010
description: scientific article; zbMATH DE number 5634872