Blow-up solutions for a string equation with nonlinear boundary source and arbitrary-initial-energy
type: Item
instance of: scholarly article
title: Blow-up solutions for a string equation with nonlinear boundary source and arbitrary-initial-energy
zbMATH Open document ID: 1253.35077
author: Hongyinping Feng
author: Mijing Wu
author: Shengjia Li
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2012-09-13T00:00:00Z
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 74K05
Mathematics Subject Classification ID: 35B44
zbMATH DE Number: 6082082
zbMATH Keywords: arbitrary-initial-energy
zbMATH Keywords: blow-up
zbMATH Keywords: boundary source
zbMATH Keywords: nonlinear boundary condition
MaRDI profile type: Publication
full work available at URL: j.na.2012.05.013
OpenAlex ID: W2066861242
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: Existence of a solution of the wave equation with nonlinear damping and source terms
cites work: Development of singularities in solutions of a hyperbolic system
cites work: Global existence and blow-up of solutions for a system of nonlinear viscoelastic wave equations with damping and source
cites work: Blow up of solutions of the Cauchy problem for a wave equation with nonlinear damping and source terms and positive initial energy
cites work: Blow up and global existence in a nonlinear viscoelastic wave equation
cites work: Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
cites work: Global nonexistence theorems for a class of evolution equations with dissipation
cites work: Existence and nonexistence of a global solution for coupled nonlinear wave equations with damping and source
cites work: Global existence for the wave equation with nonlinear boundary damping and source terms
cites work: Asymptotic behavior and nonexistence of wave equation with nonlinear boundary condition
cites work: Existence and uniform decay of the wave equation with nonlinear boundary damping and boundary memory source term
cites work: Uniqueness of weak solutions for the semilinear wave equations with supercritical boundary/interior sources and damping
cites work: Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
cites work: On decay and blow-up of the solution for a viscoelastic wave equation with boundary damping and source terms
cites work: On a viscoelastic equation with nonlinear boundary damping and source terms: global existence and decay of the solution
cites work: The regularity and exponential decay of solution for a linear wave equation associated with two-point boundary conditions
cites work: Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time
DOI: 10.1016/J.NA.2012.05.013
description: scientific article; zbMATH DE number 6082082