Premium
Global existence and nonexistence results for a class of semilinear hyperbolic systems
Author(s) -
Aliev Akbar B.,
Kazimov Anar A.,
Guliyeva Vusala F.
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2673
Subject(s) - mathematics , class (philosophy) , hyperbolic partial differential equation , cauchy distribution , cauchy problem , type (biology) , initial value problem , pure mathematics , mathematical analysis , partial differential equation , computer science , artificial intelligence , ecology , biology
In this paper, we investigate the Cauchy problem for a class of the system of semilinear hyperbolic equations with damping. With the use of the L p → L q type estimation for the corresponding linear problem and the method of comparison of functional, the existence and nonexistence criteria of global solutions are found. Copyright © 2012 John Wiley & Sons, Ltd.