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

S Kharibegashvili

doi:10.1155/BVP.2005.359

Research Article
Open Access

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

S Kharibegashvili¹Email author

Boundary Value Problems20052005:576352

https://doi.org/10.1155/BVP.2005.359

Received: 20 October 2004
Published: 13 November 2005

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.

Authors’ Affiliations

(1)

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

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

Abstract

Authors’ Affiliations

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