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

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

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.

Bibliographic Details
Main Authors: Akbar B. Aliev, Gunay I. Yusifova
Format: Article
Language:English
Published: Texas State University 2017-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Semilinear hyperbolic equations
nonexistence of global solutions
Cauchy problem
blow up
Online Access:http://ejde.math.txstate.edu/Volumes/2017/211/abstr.html
Description
Summary: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.
ISSN:1072-6691

Similar Items