Blow-up of solution of Cauchy problem for three-dimensional damped nonlinear hyperbolic equation

DOI10.1016/J.NA.2008.10.132zbMath1170.35472OpenAlexW2014571156MaRDI QIDQ1021732

Guowang Chen, Fang Da

Publication date: 9 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.132

zbMATH Keywords

local solutionsufficient conditions for blow-up

Mathematics Subject Classification ID

Initial value problems for higher-order hyperbolic equations (35L30) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (12)

Global results for semilinear hyperbolic equations with damping term on manifolds with conical singularity ⋮ On decay and blow-up of solutions for a nonlinear beam equation with double damping terms ⋮ A New Fast Algorithm Based on Half-Step Discretization for 3D Quasilinear Hyperbolic Partial Differential Equations ⋮ Asymptotic behavior of solutions to the damped nonlinear hyperbolic equation ⋮ High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: application to 3D telegraphic equation ⋮ On the initial and terminal value problem for a class of semilinear strongly material damped plate equations ⋮ Invariance solutions and blow-up property for edge degenerate pseudo-hyperbolic equations in edge Sobolev spaces ⋮ Invariance and existence analysis for semilinear hyperbolic equations with damping and conical singularity ⋮ High resolution operator compact implicit half-step approximation for 3D quasi-linear hyperbolic equations and ADI method for 3D telegraphic equation on an irrational domain ⋮ 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Initial value problems for nonlinear degenerate systems of filtration type
• The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
• Global solvability for damped abstract nonlinear hyperbolic systems
• Blow-up of solution of an initial boundary value problem for a damped nonlinear hyperbolic equation.
• Energy decay for a damped nonlinear hyperbolic equation
• A nonlinear beam equation
• Cauchy problem for generalized imbq equation with several variables

This page was built for publication: Blow-up of solution of Cauchy problem for three-dimensional damped nonlinear hyperbolic equation