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arXiv · 2110.08026

On refined blowup estimates for the exponential reaction-diffusion equation

Philippe Souplet
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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.

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Philippe Souplet. 2021-10-15. On refined blowup estimates for the exponential reaction-diffusion equation. https://doi.org/10.1007/s42985-022-00152-9

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