Skip to main content
Boundary Value Problems
Download PDF

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.

Author information

Authors and Affiliations

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

    S Kharibegashvili

Authors
  1. S Kharibegashvili
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S Kharibegashvili.

Rights and permissions

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.

Reprints and Permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Published:

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