Two new blow-up conditions for a pseudo-parabolic equation with logarithmic nonlinearity
Bull. Korean Math. Soc.
Published online August 6, 2019
Hang Ding and Jun Zhou
Southwest university, Guizhou Normal University and Southwest university
Abstract : This paper deals with the blow-up phenomenon of solutions to a pseudoparabolic
equation with logarithmic nonlinearity, which was studied extensively
in recent years. The previous result depends on the mountain-pass level
d (see (1.6) for its definition). In this paper, we obtain two blow-up conditions
which do not depend on d. Moreover, the upper bound of the blow-up time is
obtained.
Keywords : Pseudo-parabolic equation; Logarithmic nonlinearity; Critical initial energy; Blow-up.
MSC numbers : 35K58, 35K15, 35B40.
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