On the fifth-order KdV equation: Local well-posedness and lack of uniform continuity of the solution map

From MaRDI portal
Publication:952110

DOI10.1016/j.jde.2008.03.020zbMath1153.35067arXiv0708.4010OpenAlexW2963310618MaRDI QIDQ952110

Soonsik Kwon

Publication date: 6 November 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.4010




Related Items

Local well-posedness for the fifth-order KdV equations on \(\mathbb{T}\)Global well-posedness for the fifth-order KdV equation in \(H^{-1}(\mathbb{R})\)Approximate conservation laws in the KdV equationOn the growth of Sobolev norms for NLS on 2- and 3-dimensional manifoldsKawahara-Burgers equation on a stripWell-posedness and parabolic smoothing effect for higher order Schrödinger type equations with constant coefficientsSeveral sufficient conditions on the absence of global solutions of the fifth-order KdV equations with \(L^1(\mathbb{R})\) initial dataLow regularity well-posedness for generalized Benjamin–Ono equations on the circlePropagation of regularity and persistence of decay for fifth order dispersive modelsOn the hierarchies of higher order mKdV and KdV equationsLocal well-posedness for the periodic higher order KdV type equationsGlobal solutions and stability properties of the 5th order Gardner equationControl and stabilization of the periodic fifth order Korteweg-de Vries equationRefined energy inequality with application to well-posedness for the fourth order nonlinear Schrödinger type equation on torusTransport of Gaussian measures by the flow of the nonlinear Schrödinger equationRough solutions of the fifth-order KdV equationsOn the local well-posedness for a full-dispersion Boussinesq system with surface tensionWKB analysis of the Schrödinger-KdV systemLow regularity Cauchy problem for the fifth-order modified KdV equations on 𝕋Construction of blow-up solutions for Zakharov system on \(\mathbb T^2\)Decay properties for solutions of fifth order nonlinear dispersive equationsLocal and global well-posedness for dispersion generalized Benjamin-Ono equations on the circleNon-homogeneous initial-boundary-value problem of the fifth-order Korteweg-de Vries equation with a nonlinear dispersive termLocal well-posedness for fourth order Benjamin-Ono type equationsLocal analyticity in the time and space variables and the smoothing effect for the fifth-order KdV-type equationThe modified energy technique and applicationsExistence of solitary wave solutions for a nonlinear fifth-order KdV equationWell-posedness for the fifth-order KdV equation in the energy spaceOn the Cauchy problem for the strong dissipative fifth-order KdV equationsInitial value problem for the fourth order nonlinear Schrödinger type equation on torus and orbital stability of standing waves



Cites Work


This page was built for publication: On the fifth-order KdV equation: Local well-posedness and lack of uniform continuity of the solution map