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Blow-up upper and lower bounds for solutions of a class of higher order nonlinear pseudo-parabolic equations.
- Source :
-
Electronic Research Archive . 2024, Vol. 32 Issue 2, p1-17. 17p. - Publication Year :
- 2024
-
Abstract
- In this paper, we study the initial boundary value problem for a class of higher-order nonlinear pseudo-parabolic equations with a memory term. First, the blow-up results of the solution when the initial energy is negative or positive are obtained by using concavity analysis, and an upper bound on the blow-up time T ∗ is given. Second, a lower bound on the blow-up time T ∗ is obtained by applying differential inequalities when the solutions blow up. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 26881594
- Volume :
- 32
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Electronic Research Archive
- Publication Type :
- Academic Journal
- Accession number :
- 178380280
- Full Text :
- https://doi.org/10.3934/era.2024046