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Blow-up for a pseudo-parabolic $ p $-Kirchhoff equation with logarithmic nonlinearity.
- Source :
- Evolution Equations & Control Theory; Apr2024, Vol. 13 Issue 2, p1-13, 13p
- Publication Year :
- 2024
-
Abstract
- In this paper, an initial boundary value problem for a pseudo-parabolic type $ p $-Kirchhoff equation with logarithmic nonlinearity is investigated. By proving the invariance of the unstable set under the semi-flow of this problem and adopting the Levine's concavity argument, a general finite time blow-up criterion for this problem is established, which in particular implies that for some initial data, the problem admits finite time blow-up solutions at arbitrarily high initial energy level. Moreover, the lifespan of the blow-up solutions is estimated from above. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 21632472
- Volume :
- 13
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Evolution Equations & Control Theory
- Publication Type :
- Academic Journal
- Accession number :
- 176340691
- Full Text :
- https://doi.org/10.3934/eect.2023053