Existence of the global solutions of the Cauchy problem for a system of semilinear pseudohyperbolic equations with structural dissipation

DOI10.1134/S0001434617050327zbMath1372.35187OpenAlexW2662245718MaRDI QIDQ2401672

Asif F. Pashaev, Akbar B. Aliev

Publication date: 4 September 2017

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617050327

zbMATH Keywords

global solvabilitysystem of two equations

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Pseudohyperbolic equations (35L82) Fractional partial differential equations (35R11) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Optimal decay rates and asymptotic profile for the plate equation with structural damping
• Existence, non-existence and asymptotic behavior of global solutions to the Cauchy problem for systems of semilinear hyperbolic equations with damping terms
• A class of dissipative wave equations with time-dependent speed and damping
• An application of \(L^p-L^q\) decay estimates to the semi-linear wave equation with parabolic-like structural damping
• Semilinear structural damped waves
• Dispersion for non-linear relativistic equations. II

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