Blow-up time of solutions to a class of pseudo-parabolic equations

Jun Zhou; Xiongrui Wang

doi:10.5802/crmeca.189

Blow-up time of solutions to a class of pseudo-parabolic equations

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

Comptes Rendus. Mécanique, Volume 351 (2023), pp. 219-226.

Abstract

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.

Received: 2022-10-25
Revised: 2023-04-07
Accepted: 2023-04-07
Published online: 2023-05-25

DOI: 10.5802/crmeca.189

Classification: 35K70, 35A01
Mots-clés : Pseudo-parabolic equation, Blow-up, Blow-up time, Potential well method, Global existence

Author's affiliations:

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

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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     author = {Jun Zhou and Xiongrui Wang},
     title = {Blow-up time of solutions to a class of pseudo-parabolic equations},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {219--226},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {351},
     year = {2023},
     doi = {10.5802/crmeca.189},
     language = {en},
}

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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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