Lower bounds for blow-up time of a nonlinear viscoelastic wave equation

DOI10.1186/S13661-015-0479-1zbMath1338.60161OpenAlexW2189743920WikidataQ59435496 ScholiaQ59435496MaRDI QIDQ284266

Liang Fei, Yang Lu, Guo Zhenhua

Publication date: 17 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0479-1

zbMATH Keywords

blow-uplower boundsviscoelastic wave equations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (6)

Blow-up and lifespan of solutions for a nonlinear viscoelastic Kirchhoff equation ⋮ Global existence, asymptotic behavior and blow-up of solutions for a suspension bridge equation with nonlinear damping and source terms ⋮ Lower and upper bounds for the blow-up time of a class of damped fourth-order nonlinear evolution equations ⋮ Blow up of solutions for a nonlinear Petrovsky type equation with time-dependent coefficients ⋮ Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping ⋮ Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping

Cites Work

• Blow-up of solutions of a nonlinear viscoelastic wave equation
• A blow-up result in a Cauchy viscoelastic problem
• A global nonexistence theorem for viscoelastic equations with arbitrary positive initial energy
• Saddle points and instability of nonlinear hyperbolic equations
• Global existence and global nonexistence of solutions of the Cauchy problem for a nonlinearly damped wave equation
• Global nonexistence theorems for a class of evolution equations with dissipation
• Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
• Global non-existence of solutions of a class of wave equations with non-linear damping and source terms
• Blow up and global existence in a nonlinear viscoelastic wave equation
• Existence and asymptotic behaviour of solutions for a class of quasi-linear evolution equations with non-linear damping and source terms

This page was built for publication: Lower bounds for blow-up time of a nonlinear viscoelastic wave equation