Several sufficient conditions on the absence of global solutions of the fifth-order KdV equations with \(L^1(\mathbb{R})\) initial data
type: Item
instance of: scholarly article
title: Several sufficient conditions on the absence of global solutions of the fifth-order KdV equations with \(L^1(\mathbb{R})\) initial data
author: Deqin Zhou
published in: Applied Mathematics Letters
publication date: 2018-06-21T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 6892579
zbMATH Keywords: fifth-order KdV equations
zbMATH Keywords: Cauchy problems
zbMATH Keywords: blow-up
MaRDI profile type: Publication
full work available at URL: j.aml.2018.03.030
OpenAlex ID: W2795676425
cites work: A General Theory for Interactions Between Short and Long Waves
cites work: Q3706666
cites work: Strichartz estimates for dispersive equations and solvability of the Kawahara equation
cites work: Global existence of solutions for the Cauchy problem of the Kawahara equation with \(L^2\) initial data
cites work: Well-posedness for the fifth-order shallow water equations
cites work: Low regularity solutions of two fifth-order KdV type equations
cites work: Global well-posedness and I method for the fifth order Korteweg-de Vries equation
cites work: The Cauchy problem for Kawahara equation in Sobolev spaces with low regularity
cites work: Global well-posedness for the Kawahara equation with low regularity
cites work: Rough solutions of the fifth-order KdV equations
cites work: Well-posedness for the fifth-order KdV equation in the energy space
cites work: Higher-Order Nonlinear Dispersive Equations
cites work: On the fifth-order KdV equation: Local well-posedness and lack of uniform continuity of the solution map
cites work: Lax pairs and higher order models for water waves
cites work: Sharp well-posedness of the Cauchy problem for the higher-order dispersive equation
cites work: Initial boundary value problem of the Hamiltonian fifth-order KdV equation on a bounded domain
cites work: A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities. Transl. from the Russian
cites work: Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations
cites work: On the absence of global solutions of the Korteweg-de Vries equation
DOI: 10.1016/J.AML.2018.03.030
Recommended article: Global well-posedness for the fifth-order KdV equation in \(H^{-1}(\mathbb{R})\)
Recommended article: On the fifth-order KdV equation: Local well-posedness and lack of uniform continuity of the solution map
Recommended article: Local well-posedness for the fifth-order KdV equations on \(\mathbb{T}\)
Recommended article: Local well-posedness of the fifth-order KdV-type equations on the half-line
Recommended article: Global well-posedness for the fifth order Kadomtsev-Petviashvili II equation in three dimensional space
Recommended article: Well-posedness for the fifth order KP-II initial data problem in \(H^{s, 0}(\mathbb{R} \times \mathbb{T})\)
Recommended article: Global well-posedness for the fifth-order mKdV equation
Recommended article: Well-posedness for the fifth order KdV equation
Recommended article: Global well-posedness and I method for the fifth order Korteweg-de Vries equation
Recommended article: Q4619763
description: scientific article; zbMATH DE number 6892579