Instantaneous blow-up of solutions to a class of hyperbolic inequalities

We prove instantaneous blow-up of nonnegative solutions for a class of semilinear hyperbolic inequalities with first order terms and singular coefficients. The present approach relies on a suitable choice of the functions used to test the differential inequalities.

Bibliographic Details
Main Authors: Stanislav I. Pohozaev, Alberto Tesei
Format: Article
Language:English
Published: Texas State University 2002-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/08/p2/abstr.html
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author Stanislav I. Pohozaev
Alberto Tesei
author_facet Stanislav I. Pohozaev
Alberto Tesei
author_sort Stanislav I. Pohozaev
collection DOAJ
description We prove instantaneous blow-up of nonnegative solutions for a class of semilinear hyperbolic inequalities with first order terms and singular coefficients. The present approach relies on a suitable choice of the functions used to test the differential inequalities.
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spelling doaj.art-b03f866b50424ddc8c0d1fed8bd38b8b2022-12-21T23:27:56ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912002-10-01Conference08155165Instantaneous blow-up of solutions to a class of hyperbolic inequalitiesStanislav I. PohozaevAlberto TeseiWe prove instantaneous blow-up of nonnegative solutions for a class of semilinear hyperbolic inequalities with first order terms and singular coefficients. The present approach relies on a suitable choice of the functions used to test the differential inequalities.http://ejde.math.txstate.edu/conf-proc/08/p2/abstr.htmlHyperbolic inequalitiesinstantaneous blow-upnonnegative solutionssingular coefficients.
spellingShingle Stanislav I. Pohozaev
Alberto Tesei
Instantaneous blow-up of solutions to a class of hyperbolic inequalities
Electronic Journal of Differential Equations
Hyperbolic inequalities
instantaneous blow-up
nonnegative solutions
singular coefficients.
title Instantaneous blow-up of solutions to a class of hyperbolic inequalities
title_full Instantaneous blow-up of solutions to a class of hyperbolic inequalities
title_fullStr Instantaneous blow-up of solutions to a class of hyperbolic inequalities
title_full_unstemmed Instantaneous blow-up of solutions to a class of hyperbolic inequalities
title_short Instantaneous blow-up of solutions to a class of hyperbolic inequalities
title_sort instantaneous blow up of solutions to a class of hyperbolic inequalities
topic Hyperbolic inequalities
instantaneous blow-up
nonnegative solutions
singular coefficients.
url http://ejde.math.txstate.edu/conf-proc/08/p2/abstr.html
work_keys_str_mv AT stanislavipohozaev instantaneousblowupofsolutionstoaclassofhyperbolicinequalities
AT albertotesei instantaneousblowupofsolutionstoaclassofhyperbolicinequalities