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Abstract
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Boundary Value Problems 
Volume 2005 (2005), Issue 3, Pages 359-376
doi:10.1155/BVP.2005.359

On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equations

S. Kharibegashvili

A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1 M. Aleksidze Street, Tbilisi 0193, Georgia

Received 20 October 2004

Abstract

For wave equations with power nonlinearity we investigate the problem of the existence or nonexistence of global solutions of the Cauchy characteristic problem in the light cone of the future.