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Lower bounds for blow-up time of porous medium equation with nonlinear flux on boundary

tributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper, we investigate the lower bounds for the blow-up time of the non-negative solutions of porous medium equation with Neumann boundary conditions. We find that the blow-up time are bounded below by t * ≥ ∞ φ(0) dη Γ(η) for some computable function Γ(η).