Blow-up phenomena for a Kirchhoff-type parabolic equation with logarithmic nonlinearity

Abstract A Kirchhoff-type parabolic equation with logarithmic nonlinearity is studied in this paper. By employing the potential well theory and some differential inequality techniques, a new blow-up condition, the upper bound of the blow-up time, and the lower bound of the growth rate of blow-up solutions are obtained. The effect of the parameters a , b , θ in the assumption of Kirchhoff function M is simultaneously considered, while Ding and Zhou only considered the effect of the parameters b , θ . Thus, the main result in the present paper improves a recent blow-up result.

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