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.
Main Authors: | , |
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Format: | Article |
Language: | English |
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Texas State University
2002-10-01
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Series: | Electronic Journal of Differential Equations |
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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. |
first_indexed | 2024-12-13T23:16:08Z |
format | Article |
id | doaj.art-b03f866b50424ddc8c0d1fed8bd38b8b |
institution | Directory Open Access Journal |
issn | 1072-6691 |
language | English |
last_indexed | 2024-12-13T23:16:08Z |
publishDate | 2002-10-01 |
publisher | Texas State University |
record_format | Article |
series | Electronic Journal of Differential Equations |
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 |