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

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

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.

Bibliographic Details
Main Author: S. Kharibegashvili
Format: Article
Language:English
Published: SpringerOpen 2005-11-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/BVP.2005.359
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spelling doaj-1456e67c68c643e7ac17f7f28a02f9912020-11-24T23:28:06ZengSpringerOpenBoundary Value Problems1687-27621687-27702005-11-012005335937610.1155/BVP.2005.359On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equationsS. KharibegashviliFor 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.http://dx.doi.org/10.1155/BVP.2005.359
collection DOAJ
language English
format Article
sources DOAJ
author S. Kharibegashvili
spellingShingle S. Kharibegashvili
On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equations
Boundary Value Problems
author_facet S. Kharibegashvili
author_sort S. Kharibegashvili
title On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equations
title_short On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equations
title_full On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equations
title_fullStr On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equations
title_full_unstemmed On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equations
title_sort on the existence or the absence of global solutions of the cauchy characteristic problem for some nonlinear hyperbolic equations
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2762
1687-2770
publishDate 2005-11-01
description 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.
url http://dx.doi.org/10.1155/BVP.2005.359
work_keys_str_mv AT skharibegashvili ontheexistenceortheabsenceofglobalsolutionsofthecauchycharacteristicproblemforsomenonlinearhyperbolicequations
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