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

Boundary Value Problems volume 2005, Article number: 576352 (2005) Cite this article

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.

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

    S Kharibegashvili

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  1. S Kharibegashvili
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Correspondence to S Kharibegashvili.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Kharibegashvili, S. On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equations. Bound Value Probl 2005, 576352 (2005). https://doi.org/10.1155/BVP.2005.359

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