Comptes Rendus
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On global existence and bounds for the blow-up time in a semilinear heat equation involving parametric variable sources
Rabil Ayazoglu (Mashiyev)1, 2   ; Ebubekir Akkoyunlu1  ; Tuba Agirman Aydin1 
1 Faculty of Education, Bayburt University, Bayburt, Turkey
2 Institute of Mathematics and Mechanics of ANAS, Baku, Azerbaijan
Comptes Rendus. Mécanique, Volume 349 (2021) no. 3, pp. 519-527.

This paper is concerned with the blow-up of the solutions to a semilinear heat equation with a reaction given by parametric variable sources. Some conditions to parameters and exponents of sources are given to obtain lower–upper bounds for the time of blow-up and some global existence results.

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/crmeca.98
Mots clés : Parametric variable sources, Global existence, Heat equation, Semilinear parabolic problem, Lower bound, Upper bound
Rabil Ayazoglu (Mashiyev) 1, 2 ; Ebubekir Akkoyunlu 1 ; Tuba Agirman Aydin 1

1 Faculty of Education, Bayburt University, Bayburt, Turkey
2 Institute of Mathematics and Mechanics of ANAS, Baku, Azerbaijan
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Rabil Ayazoglu (Mashiyev); Ebubekir Akkoyunlu; Tuba Agirman Aydin. On global existence and bounds for the blow-up time in a semilinear heat equation involving parametric variable sources. Comptes Rendus. Mécanique, Volume 349 (2021) no. 3, pp. 519-527. doi : 10.5802/crmeca.98. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.98/

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