Blow-up phenomena for a reaction-diffusion equation with a singular coefficient
Abstract
In this paper, we consider an initial boundary value problem for a p-Laplacian parabolic reactiondiffusion equation with a singular coefficient. We address this problem at three different initial energy levels. For sub-critical initial energy, we obtain blow-up results and estimate the lower and upper bounds of the blow-up time. For critical initial energy, we demonstrate global existence, asymptotic behavior, finite-time blow-up, and the lower bound of the blow-up time. For super-critical initial energy, we prove finite-time blow-up and estimate the lower and upper bounds of the blow-up time. This investigation generalizes and enhances previous literature outcomes.
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References
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