Existence and nonexistence of a global solution for coupled nonlinear wave equations with damping and source

DOI10.1016/j.na.2010.01.028zbMath1190.35145OpenAlexW2012926060MaRDI QIDQ965005

Shugen Chai, Jieqiong Wu, Sheng-Jia Li

Publication date: 21 April 2010

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.2010.01.028

zbMATH Keywords

nonexistenceglobal existencenonlinear wave equations

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Second-order quasilinear hyperbolic equations (35L72) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (9)

Growth of solutions with positive initial energy to systems of nonlinear wave equations with damping and source terms ⋮ Blow-up solutions for a nonlinear wave equation with boundary damping and interior source ⋮ Global nonexistence of positive initial-energy solutions for coupled nonlinear wave equations with damping and source terms ⋮ Blow-up solutions for a string equation with nonlinear boundary source and arbitrary-initial-energy ⋮ On the decay and blow-up of solution for coupled nonlinear wave equations with nonlinear damping and source terms ⋮ Unnamed Item ⋮ Blow up of positive initial-energy solutions for coupled nonlinear wave equations with degenerate damping and source terms ⋮ Uniform decay of the solution to a wave equation with memory conditions on the boundary ⋮ Global well-posedness for a class of Kirchhoff-type wave system

Cites Work

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• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
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