Global solution and blow-up solution for a nonlinear damped beam with source term

DOI10.1007/S11766-010-2063-XzbMath1240.35364OpenAlexW2026497521MaRDI QIDQ716535

Jieqiong Wu, Sheng-Jia Li

Publication date: 29 September 2011

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-010-2063-x

zbMATH Keywords

global solutionblow-up solutionnonlinear hyperbolic systemboundary input and output

Mathematics Subject Classification ID

Boundary value problems for nonlinear higher-order PDEs (35G30) Higher-order nonlinear hyperbolic equations (35L75) Blow-up in context of PDEs (35B44)

Related Items (1)

Global and blow-up solutions for nonlinear hyperbolic equations with initial-boundary conditions

Cites Work

• Unnamed Item
• Decay properties of solutions to the Cauchy problem for the damped wave equation with absorption
• Global solutions and blow-up solutions for a nonlinear string with boundary input and output
• Global solvability of boundary-value problems for a class of quasilinear hyperbolic equations
• Existence of a solution of the wave equation with nonlinear damping and source terms
• Global nonexistence theorems for quasilinear evolution equations with dissipation
• Blow up of solutions of the Cauchy problem for a wave equation with nonlinear damping and source terms and positive initial energy
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
• Global Smooth Solutions and Exponential Stability for a Nonlinear Beam

This page was built for publication: Global solution and blow-up solution for a nonlinear damped beam with source term