On global existence and bounds for the blow-up time in a semilinear heat equation involving parametric variable sources

Rabil Ayazoglu (Mashiyev); Ebubekir Akkoyunlu; Tuba Agirman Aydin

doi:10.5802/crmeca.98

Note

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 Akkoyunlu ¹ ; Tuba Agirman Aydin ¹

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.

Résumé

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 : 2021-04-16
Révisé le : 2021-06-03
Accepté le : 2021-10-19
Publié le : 2021-11-17

DOI : 10.5802/crmeca.98

Mots-clés : Parametric variable sources, Global existence, Heat equation, Semilinear parabolic problem, Lower bound, Upper bound

Affiliations des auteurs :

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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     author = {Rabil Ayazoglu (Mashiyev) and Ebubekir Akkoyunlu and Tuba Agirman Aydin},
     title = {On global existence and bounds for the blow-up time in a semilinear heat equation involving parametric variable sources},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {519--527},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {349},
     number = {3},
     year = {2021},
     doi = {10.5802/crmeca.98},
     language = {en},
}

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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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