Global and blow-up solutions for a quasilinear hyperbolic equation with strong damping
type: Item
instance of: scholarly article
title: Global and blow-up solutions for a quasilinear hyperbolic equation with strong damping
zbMATH Open document ID: 1197.35064
author: Fuqin Sun
author: Mingxin Wang
author: Huiling Li
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-07-13T00:00:00Z
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35L72
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 5736459
zbMATH Keywords: decay estimates
zbMATH Keywords: successive approximation method
zbMATH Keywords: potential method
zbMATH Keywords: concave method
MaRDI profile type: Publication
full work available at URL: j.na.2010.05.001
OpenAlex ID: W2011849416
cites work: Strong Solutions of a Quasilinear Wave Equation with Nonlinear Damping
cites work: On the existence of solutions to the equation \(u_{tt}=u_{xxt}+\sigma (u_x)_x\)
cites work: Asymptotic behaviour and changes of phase in one-dimensional nonlinear viscoelasticity
cites work: Existence Theorems for a Quasilinear Evolution Equation
cites work: Global existence and exponential stability of small solutions to nonlinear viscoelasticity
cites work: Q5539892
cites work: On the existence, uniqueness, and stability of solutions of the equation \(p_0 {\mathfrak X}_{tt} = E({\mathfrak X}_ x) {\mathfrak X}_{xx} +\lambda {\mathfrak X}_{xxt}\)
cites work: Blowup of solutions for a class of quasilinear evolution equations
cites work: On the Existence and Uniqueness of Solutions of the Equation
cites work: Global existence of small solutions to a class of nonlinear evolution equations
cites work: On a global in time existence theorem of smooth solutions to a nonlinear wave equation with viscosity
cites work: Qualitative analysis of a nonlinear wave equation
cites work: Global solutions and finite time blow up for damped semilinear wave equations
cites work: On weak solutions for an evolution equation with exponential nonlinearities
cites work: Non-existence of global solutions for nonlinear strongly damped hyperbolic systems
cites work: Global and blow-up solutions for a system of nonlinear hyperbolic equations with dissipative terms
cites work: Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation
cites work: Q3207428
cites work: A difference inequality and its application to nonlinear evolution equations
cites work: Non-linear semi-groups
DOI: 10.1016/J.NA.2010.05.001
description: scientific article; zbMATH DE number 5736459