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.

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Rabil Ayazoglu (Mashiyev) ^{1, 2};
Ebubekir Akkoyunlu ^{1};
Tuba Agirman Aydin ^{1}

@article{CRMECA_2021__349_3_519_0, 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}, }

TY - JOUR AU - Rabil Ayazoglu (Mashiyev) AU - Ebubekir Akkoyunlu AU - Tuba Agirman Aydin TI - On global existence and bounds for the blow-up time in a semilinear heat equation involving parametric variable sources JO - Comptes Rendus. Mécanique PY - 2021 SP - 519 EP - 527 VL - 349 IS - 3 PB - Académie des sciences, Paris DO - 10.5802/crmeca.98 LA - en ID - CRMECA_2021__349_3_519_0 ER -

%0 Journal Article %A Rabil Ayazoglu (Mashiyev) %A Ebubekir Akkoyunlu %A Tuba Agirman Aydin %T On global existence and bounds for the blow-up time in a semilinear heat equation involving parametric variable sources %J Comptes Rendus. Mécanique %D 2021 %P 519-527 %V 349 %N 3 %I Académie des sciences, Paris %R 10.5802/crmeca.98 %G en %F CRMECA_2021__349_3_519_0

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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