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On refined blowup estimates for the exponential reaction-diffusion equation (2110.08026v1)
Published 15 Oct 2021 in math.AP
Abstract: We consider radial decreasing solutions of the semilinear heat equation with exponential nonlinearity. We provide a relatively simple proof of the sharp upper estimates for the final blowup profile and for the refined space-time behavior. We actually establish a global, upper space-time estimate, which contains those of the final and refined profiles as special cases.