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 >...
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2001
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00442275_v52_n2_p342_Quiros http://hdl.handle.net/20.500.12110/paper_00442275_v52_n2_p342_Quiros |
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paper:paper_00442275_v52_n2_p342_Quiros |
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paper:paper_00442275_v52_n2_p342_Quiros2025-07-30T17:45:30Z Non-simultaneous blow-up in a semilinear parabolic system 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. 2001 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00442275_v52_n2_p342_Quiros 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 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. |
| 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 |
| publishDate |
2001 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00442275_v52_n2_p342_Quiros http://hdl.handle.net/20.500.12110/paper_00442275_v52_n2_p342_Quiros |
| _version_ |
1840325928537817088 |