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Blow-up time of solutions to a class of pseudo-parabolic equations
Jun Zhou1  ; Xiongrui Wang2
1 School of Mathematics and Statistics, Southwest University, Chongqing, 400715, P. R. China
2 Department of Mathematics, Yibin University, Yibin, Sichuan, 644000, P. R. China
Comptes Rendus. Mécanique, Volume 351 (2023), pp. 219-226.

In this paper, we study the Dirichlet problem for a semilinear pseudo-parabolic equation. By using the energy estimates and ordinary differential inequalities, we studied the upper and lower bounds of blow-up time of the solutions. The results of this paper extend and complete the results on this model.

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/crmeca.189
Classification : 35K70, 35A01
Mots clés : Pseudo-parabolic equation, Blow-up, Blow-up time, Potential well method, Global existence
Jun Zhou 1 ; Xiongrui Wang 2

1 School of Mathematics and Statistics, Southwest University, Chongqing, 400715, P. R. China
2 Department of Mathematics, Yibin University, Yibin, Sichuan, 644000, P. R. China
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Jun Zhou; Xiongrui Wang. Blow-up time of solutions to a class of pseudo-parabolic equations. Comptes Rendus. Mécanique, Volume 351 (2023), pp. 219-226. doi : 10.5802/crmeca.189. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.189/

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