Cauchy problem of the generalized double dispersion equation
type: Item
instance of: scholarly article
title: Cauchy problem of the generalized double dispersion equation
zbMATH Open document ID: 1092.35056
author: Shubin Wang
author: Guowang Chen
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2006-01-10T00:00:00Z
review text: The existence and the uniqueness of the global solution for the Cauchy problem of the generalized double dispersion equation are proved. The blow-up of the solution for the Cauchy problem of the generalized double dispersion equation is discussed by the concavity method under some conditions.
reviewed by: Meng Wang
Mathematics Subject Classification ID: 35L30
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 2245099
zbMATH Keywords: Double dispersion equation
zbMATH Keywords: Cauchy problem
zbMATH Keywords: Existence of global solution
zbMATH Keywords: Blow up
zbMATH Keywords: concavity method
MaRDI profile type: Publication
full work available at URL: j.na.2005.06.017
OpenAlex ID: W2070078560
cites work: The initial value problem for a generalized Boussinesq equation.
cites work: Global Existence and Asymptotic Stability for a Semilinear Hyperbolic Volterra Equation with Large Initial Data
cites work: The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
cites work: A mathematical justification for Korteweg-de Vries equation and Boussinesq equation of water surface waves
cites work: Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
cites work: Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
cites work: Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
cites work: Q3823862
cites work: Q4012826
cites work: Q4308931
cites work: Q5475904
cites work: Q5607484
cites work: Small amplitude solutions of the generalized IMBq equation.
cites work: Q5581948
DOI: 10.1016/J.NA.2005.06.017
description: scientific article