Upper and lower bounds for the blow-up time of a fourth-order parabolic equation with exponential nonlinearity
This paper investigated the blow-up properties of solutions to the initial value problem for a fourth-order nonlinear parabolic equation with an exponential source term. By using an improved concavity method, we obtained upper and lower bound estimates for the blow-up time of the solution.
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-11-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024289 |
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| _version_ | 1832590732265783296 |
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| author | Shuting Chang Yaojun Ye |
| author_facet | Shuting Chang Yaojun Ye |
| author_sort | Shuting Chang |
| collection | DOAJ |
| description | This paper investigated the blow-up properties of solutions to the initial value problem for a fourth-order nonlinear parabolic equation with an exponential source term. By using an improved concavity method, we obtained upper and lower bound estimates for the blow-up time of the solution. |
| format | Article |
| id | doaj-art-2d75af5497434070ac4d1690ee60fc60 |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-2d75af5497434070ac4d1690ee60fc602025-01-23T07:53:00ZengAIMS PressElectronic Research Archive2688-15942024-11-0132116225623410.3934/era.2024289Upper and lower bounds for the blow-up time of a fourth-order parabolic equation with exponential nonlinearityShuting Chang0Yaojun Ye1Department of Mathematics and Statistics, Zhejiang University of Science and Technology, Hangzhou 310023, ChinaDepartment of Mathematics and Statistics, Zhejiang University of Science and Technology, Hangzhou 310023, ChinaThis paper investigated the blow-up properties of solutions to the initial value problem for a fourth-order nonlinear parabolic equation with an exponential source term. By using an improved concavity method, we obtained upper and lower bound estimates for the blow-up time of the solution.https://www.aimspress.com/article/doi/10.3934/era.2024289fourth-order parabolic equationexponential source termcauchy problemblow-upupper and lower bounds for the blow-up time |
| spellingShingle | Shuting Chang Yaojun Ye Upper and lower bounds for the blow-up time of a fourth-order parabolic equation with exponential nonlinearity Electronic Research Archive fourth-order parabolic equation exponential source term cauchy problem blow-up upper and lower bounds for the blow-up time |
| title | Upper and lower bounds for the blow-up time of a fourth-order parabolic equation with exponential nonlinearity |
| title_full | Upper and lower bounds for the blow-up time of a fourth-order parabolic equation with exponential nonlinearity |
| title_fullStr | Upper and lower bounds for the blow-up time of a fourth-order parabolic equation with exponential nonlinearity |
| title_full_unstemmed | Upper and lower bounds for the blow-up time of a fourth-order parabolic equation with exponential nonlinearity |
| title_short | Upper and lower bounds for the blow-up time of a fourth-order parabolic equation with exponential nonlinearity |
| title_sort | upper and lower bounds for the blow up time of a fourth order parabolic equation with exponential nonlinearity |
| topic | fourth-order parabolic equation exponential source term cauchy problem blow-up upper and lower bounds for the blow-up time |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024289 |
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