On refined blowup estimates for the exponential reaction-diffusion equation

Philippe Souplet ()
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Philippe Souplet: Université Sorbonne Paris Nord, CNRS UMR 7539, Laboratoire Analyse, Géométrie et Applications

Partial Differential Equations and Applications, 2022, vol. 3, issue 1, 1-9

Abstract: 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.

Keywords: Semilinear heat equation; Exponential nonlinearity; Blowup profile; Refined space-time behavior; 35K58; 35B44; 35B40 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s42985-022-00152-9

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