Existence, non-existence and asymptotic behavior of global solutions to the Cauchy problem for systems of semilinear hyperbolic equations with damping terms

DOI10.1016/J.NA.2011.08.002zbMath1254.35145OpenAlexW2000279379MaRDI QIDQ644181

Anar A. Kazimov, Akbar B. Aliev

Publication date: 3 November 2011

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.2011.08.002

zbMATH Keywords

\(L_{p}\to L_{q}\) type estimation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71) Initial value problems for higher-order hyperbolic systems (35L56)

Related Items (5)

Global existence and nonexistence results for a class of semilinear hyperbolic systems ⋮ Existence of the global solutions of the Cauchy problem for a system of semilinear pseudohyperbolic equations with structural dissipation ⋮ Integral type Cauchy problem for abstract wave equations and applications ⋮ Global existence and asymptotic behaviour for systems of nonlinear hyperbolic equations ⋮ Existence and asymptotic behavior for systems of nonlinear hyperbolic equations

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