Uniform decay and blow-up of solutions for coupled nonlinear Klein-Gordon equations with nonlinear damping terms

DOI10.1002/MMA.3042zbMath1311.35146OpenAlexW2090817043MaRDI QIDQ2938283

Erhan Pişkin

Publication date: 14 January 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3042

zbMATH Keywords

Nakao's inequalitynonlinear damping and source terms

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Blow-up in context of PDEs (35B44) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (8)

Blow-up of arbitrarily positive initial energy solutions for a viscoelastic wave system with nonlinear damping and source terms ⋮ Existence and general decay of a transmission problem for the plate equation with a memory condition on the boundary ⋮ Well-posedness issues for some critical coupled non-linear Klein-Gordon equations ⋮ Energy decay and blow-up of solutions for a class of system of generalized nonlinear Klein-Gordon equations with source and damping terms ⋮ Qualitative behavior of solutions for a class of coupled nonlinear Klein-Gordon equations with strongly damping terms ⋮ On the decay and blow-up of solution for coupled nonlinear wave equations with nonlinear damping and source terms ⋮ Global existence and blowup of solutions for nonlinear coupled wave equations with viscoelastic terms ⋮ Growth of solutions for a coupled nonlinear Klein-Gordon system with strong damping, source, and distributed delay terms

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