Asymptotic stability of solutions to quasilinear hyperbolic equations with variable sources
type: Item
instance of: scholarly article
title: Asymptotic stability of solutions to quasilinear hyperbolic equations with variable sources
zbMATH Open document ID: 1450.35177
author: Xiaolei Li
author: Bin Guo
author: Menglan Liao
publication date: 2020-10-07T00:00:00Z
Mathematics Subject Classification ID: 35L77
Mathematics Subject Classification ID: 35L35
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 7256641
zbMATH Keywords: Komornik inequality
zbMATH Keywords: energy estimate
zbMATH Keywords: decay rate
zbMATH Keywords: \(p(x)\)-Laplacian operator
MaRDI profile type: Publication
full work available at URL: j.camwa.2019.08.016
OpenAlex ID: W2978339290
cites work: Electrorheological fluids: Modeling and mathematical theory
cites work: Lebesgue and Sobolev spaces with variable exponents
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: On the decay of solutions for a class of quasilinear hyperbolic equations with non‐linear damping and source terms
cites work: Decay estimates for the wave equation of p-Laplacian type with dissipation of m-Laplacian type
cites work: Decay rate estimates for a class of quasilinear hyperbolic equations with damping terms involving p-Laplacian
cites work: A blow-up result in a nonlinear wave equation with delay
cites work: A lower bound for the blow-up time to a damped semilinear wave equation
cites work: A lower bound for the blow-up time to a viscoelastic hyperbolic equation with nonlinear sources
cites work: Global existence and energy decay result for a weak viscoelastic wave equations with a dynamic boundary and nonlinear delay term
cites work: Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
cites work: On stationary thermo-rheological viscous flows
cites work: On global solution of nonlinear hyperbolic equations
cites work: REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
cites work: Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
cites work: Weak solutions and blow-up for wave equations of p-Laplacian type with supercritical sources
cites work: Wave equation with \(p(x,t)\)-Laplacian and damping term: existence and blow-up
cites work: A blow-up result for a nonlinear wave equation with variable-exponent nonlinearities
cites work: Blowup in solutions of a quasilinear wave equation with variable-exponent nonlinearities
cites work: Lower and upper bounds for the blow-up time for nonlinear wave equation with variable sources
cites work: Existence of weak solutions for viscoelastic hyperbolic equations with variable exponents
cites work: Decay for solutions of a nonlinear damped wave equation with variable-exponent nonlinearities
cites work: On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
cites work: Q4851730
cites work: Finite-time blow-up and extinction rates of solutions to an initial Neumann problem involving the \(p(x,t)\)-Laplace operator and a non-local term
cites work: Singular phenomena of solutions for nonlinear diffusion equations involving \(p(x)\)-Laplace operator and nonlinear sources
cites work: Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions
Wikidata QID: Q127173332
DOI: 10.1016/J.CAMWA.2019.08.016
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 7256641