Non-simultaneous blow-up in a semilinear parabolic system

In this paper we study the possibility of non-simultaneous blow-up for positive solutions of a fully coupled system of two semilinear heat equations, ut = Δu + up11 vp12, vt = Δv + up21 vp22. Under adequate hypotheses, we prove that if u blows up then v can fail to blow up if and only if p11 &gt...

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Detalles Bibliográficos
Autores principales: Quirós, F., Rossi, J.D.
Formato: JOUR
Materias:
Blow-up
Semilinear parabolic system
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00442275_v52_n2_p342_Quiros
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00442275_v52_n2_p342_Quiros
record_format dspace
spelling todo:paper_00442275_v52_n2_p342_Quiros2023-10-03T14:51:36Z Non-simultaneous blow-up in a semilinear parabolic system Quirós, F. Rossi, J.D. Blow-up Semilinear parabolic system In this paper we study the possibility of non-simultaneous blow-up for positive solutions of a fully coupled system of two semilinear heat equations, ut = Δu + up11 vp12, vt = Δv + up21 vp22. Under adequate hypotheses, we prove that if u blows up then v can fail to blow up if and only if p11 > 1 and p21 < P11 - 1. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00442275_v52_n2_p342_Quiros
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Blow-up
Semilinear parabolic system
spellingShingle Blow-up
Semilinear parabolic system
Quirós, F.
Rossi, J.D.
Non-simultaneous blow-up in a semilinear parabolic system
topic_facet Blow-up
Semilinear parabolic system
description In this paper we study the possibility of non-simultaneous blow-up for positive solutions of a fully coupled system of two semilinear heat equations, ut = Δu + up11 vp12, vt = Δv + up21 vp22. Under adequate hypotheses, we prove that if u blows up then v can fail to blow up if and only if p11 > 1 and p21 < P11 - 1.
format JOUR
author Quirós, F.
Rossi, J.D.
author_facet Quirós, F.
Rossi, J.D.
author_sort Quirós, F.
title Non-simultaneous blow-up in a semilinear parabolic system
title_short Non-simultaneous blow-up in a semilinear parabolic system
title_full Non-simultaneous blow-up in a semilinear parabolic system
title_fullStr Non-simultaneous blow-up in a semilinear parabolic system
title_full_unstemmed Non-simultaneous blow-up in a semilinear parabolic system
title_sort non-simultaneous blow-up in a semilinear parabolic system
url http://hdl.handle.net/20.500.12110/paper_00442275_v52_n2_p342_Quiros
work_keys_str_mv AT quirosf nonsimultaneousblowupinasemilinearparabolicsystem
AT rossijd nonsimultaneousblowupinasemilinearparabolicsystem
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