Global nonexistence of positive initial-energy solutions for coupled nonlinear wave equations with damping and source terms

DOI10.1155/2011/760209zbMath1232.35008OpenAlexW2036818143WikidataQ58654442 ScholiaQ58654442MaRDI QIDQ638139

Fei Liang, Hong-Jun Gao

Publication date: 9 September 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/760209

zbMATH Keywords

dampingsource termsglobal nonexistenceYoung's inequalitycoupled nonlinear wave equationHolder's inequalitypositive initial-energy

Mathematics Subject Classification ID

Wave equation (35L05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Systems of nonlinear higher-order PDEs (35G50)

Related Items (4)

Growth of solutions with positive initial energy to systems of nonlinear wave equations with damping and source terms ⋮ Blow-up of arbitrarily positive initial energy solutions for a viscoelastic wave system 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

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