Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 92, pp. 1-13.

Title: Blow-up results for systems of nonlinear Klein-Gordon equations with
       arbitrary positive initial energy

Author: Shun-Tang Wu (National Taipei Univ., Taiwan)

Abstract:
 The initial boundary value problem for a system of nonlinear Klein-Gordon
 equations in a bounded domain is considered. We prove the  existence of
 local solutions by using a successive approximation method.
 Then, we show  blow-up results with arbitrary positive initial energy
 by a concavity method. Also estimates for the  lifespan of solutions 
 are given.
	 
Submitted February 24, 2012. Published June 07, 2012.
Math Subject Classifications: 35L05, 35L15, 35L70.
Key Words: Blow-up; life span; damping; nonlinear
           wave equations; Klein-Gordon equation.