Back to Search Start Over

Blow-up for a pseudo-parabolic $ p $-Kirchhoff equation with logarithmic nonlinearity.

Authors :
Yang, Hui
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