Blow-up of solution of an initial boundary value problem for a damped nonlinear hyperbolic equation.

DOI10.1016/S0893-9659(04)90116-4zbMath1056.35124MaRDI QIDQ1764545

Guowang Chen, Zhancai Zhao, Yan-Ping Wang

Publication date: 25 February 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

local generalized solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (8)

On decay and blow-up of solutions for a nonlinear beam equation with double damping terms ⋮ Blow-up of solutions for a nonlinear beam equation with fractional feedback ⋮ Blow-up of solution for a generalized Boussinesq equation ⋮ Local existence and global nonexistence theorems for a damped nonlinear hyperbolic equation ⋮ Blow-up of solution of Cauchy problem for three-dimensional damped nonlinear hyperbolic equation ⋮ On a final value problem for a class of nonlinear hyperbolic equations with damping term ⋮ Existence and nonexistence of global solutions to the Cauchy problem of the nonlinear hyperbolic equation with damping term ⋮ Strong global and exponential attractors for a nonlinear strongly damped hyperbolic equation

Cites Work

• Unnamed Item
• Unnamed Item
• Attractors for quasilinear second-order parabolic equations of the general form
• Nonexistence of global weak solutions for classes of nonlinear wave and parabolic equations
• The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
• Global solvability for damped abstract nonlinear hyperbolic systems
• Energy decay for a damped nonlinear hyperbolic equation
• A nonlinear beam equation
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
• Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations

This page was built for publication: Blow-up of solution of an initial boundary value problem for a damped nonlinear hyperbolic equation.