Blow-up time of solutions to a class of pseudo-parabolic equations
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 mo...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-05-01
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| Series: | Comptes Rendus. Mécanique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.189/ |
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| _version_ | 1825206031757606912 |
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| author | Zhou, Jun Wang, Xiongrui |
| author_facet | Zhou, Jun Wang, Xiongrui |
| author_sort | Zhou, Jun |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-bc592b1484264384890d2a7fd8328af1 |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2023-05-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-bc592b1484264384890d2a7fd8328af12025-02-07T13:47:15ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-05-01351G221922610.5802/crmeca.18910.5802/crmeca.189Blow-up time of solutions to a class of pseudo-parabolic equationsZhou, Jun0Wang, Xiongrui1School of Mathematics and Statistics, Southwest University, Chongqing, 400715, P. R. ChinaDepartment of Mathematics, Yibin University, Yibin, Sichuan, 644000, P. R. ChinaIn 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.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.189/Pseudo-parabolic equationBlow-upBlow-up timePotential well methodGlobal existence |
| spellingShingle | Zhou, Jun Wang, Xiongrui Blow-up time of solutions to a class of pseudo-parabolic equations Comptes Rendus. Mécanique Pseudo-parabolic equation Blow-up Blow-up time Potential well method Global existence |
| title | Blow-up time of solutions to a class of pseudo-parabolic equations |
| title_full | Blow-up time of solutions to a class of pseudo-parabolic equations |
| title_fullStr | Blow-up time of solutions to a class of pseudo-parabolic equations |
| title_full_unstemmed | Blow-up time of solutions to a class of pseudo-parabolic equations |
| title_short | Blow-up time of solutions to a class of pseudo-parabolic equations |
| title_sort | blow up time of solutions to a class of pseudo parabolic equations |
| topic | Pseudo-parabolic equation Blow-up Blow-up time Potential well method Global existence |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.189/ |
| work_keys_str_mv | AT zhoujun blowuptimeofsolutionstoaclassofpseudoparabolicequations AT wangxiongrui blowuptimeofsolutionstoaclassofpseudoparabolicequations |