Cauchy problem for quasi-linear wave equations with nonlinear damping and source terms
type: Item
instance of: scholarly article
title: Cauchy problem for quasi-linear wave equations with nonlinear damping and source terms
zbMATH Open document ID: 1060.35086
author: Zhijian Yang
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-02-23T00:00:00Z
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35L15
zbMATH DE Number: 2137699
zbMATH Keywords: global solutions
zbMATH Keywords: blow up of solutions
zbMATH Keywords: negative initial energy
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.06.061
OpenAlex ID: W1990401136
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: Strong Solutions of a Quasilinear Wave Equation with Nonlinear Damping
cites work: On the Strongly Damped Wave Equation: $u_{tt} - \Delta u - \Delta u_t + f(u) = 0$
cites work: Existence of global weak solutions for a class of quasilinear hyperbolic integro-differential equations describing visco-elastic materials
cites work: On a special Schauder basis for the Sobolev spaces \(W_ 0^{1,p}(\Omega)\)
cites work: On a nonlinear evolution equation and its applications
cites work: Existence Theorems for a Quasilinear Evolution Equation
cites work: Weak solutions of a class of quasilinear hyperbolic integro-differential equations describing viscoelastic materials
cites work: Systems of nonlinear wave equations with nonlinear viscosity
cites work: Q5638809
cites work: Q5539892
cites work: Global existence and exponential stability of small solutions to nonlinear viscoelasticity
cites work: The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
cites work: On a global in time existence theorem of smooth solutions to a nonlinear wave equation with viscosity
cites work: Energy decay for the quasilinear wave equation with viscosity
cites work: Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings
cites work: Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation
cites work: Some remarks on the equation \(y_{tt}-\sigma (y_x)y_{xx}-y_{x^tx}=f\)
cites work: Blowup of solutions for a class of quasilinear evolution equations
cites work: Existence and asymptotic behaviour of solutions for a class of quasi-linear evolution equations with non-linear damping and source terms
cites work: Blowup of solutions for a class of non-linear evolution equations with non-linear damping and source terms
DOI: 10.1016/J.JMAA.2004.06.061
description: scientific article; zbMATH DE number 2137699