Electron. J. Differential Equations, Vol. 2017 (2017), No. 211, pp. 1-10.

Nonexistence of global solutions of Cauchy problems for systems of semilinear hyperbolic equations with positive initial energy

Akbar B. Aliev, Gunay I. Yusifova

Abstract:
In this paper we study the Cauchy problem for a system of semilinear hyperbolic equations. We prove a theorem on the nonexistence of global solutions with positive initial energy.

Submitted August 17, 2017. Published September 11, 2017.
Math Subject Classifications: 35G25, 35J50, 35Q51.
Key Words: Semilinear hyperbolic equations; nonexistence of global solutions; Cauchy problem; blow up.

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Akbar B. Aliev
Azerbaijan Technical University
Baku, Azerbaijan
email: alievakbar@gmail.com
Gunay I. Yusifova
Ganja State University
Ganja, Azerbaijan
email: yusifova81@inbox.ru

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