Global solvability and behavior of solutions of the Cauchy problem for a system of two semilinear hyperbolic equations with dissipation

DOI10.1134/S001226611304006XzbMath1307.35161MaRDI QIDQ362473

Akbar B. Aliev, Anar A. Kazimov

Publication date: 22 August 2013

Published in: Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Initial value problems for higher-order hyperbolic systems (35L56)

Related Items (8)

Nonexistence of global solutions of the Cauchy problem for systems of Klein-Gordon equations with positive initial energy ⋮ New scenario of decay rate for system of three nonlinear wave equations with visco-elasticities ⋮ Decay rate for systems of \(m\)-nonlinear wave equations with new viscoelastic structures ⋮ Strict Decay Rate for System of Three Nonlinear Wave Equations Depending on the Relaxation Functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The effect of damping terms on decay rate for system of three nonlinear wave equations with weak-memories ⋮ The existence and nonexistence of global solutions of the Cauchy problem for Klein-Gordon systems

Cites Work

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