Abstract
This paper deals with the blowup behavior of the radially symmetric solution of the nonlinear heat equation ut = Δu + eu in ℝN. The authors show the nonexistence of type II blowup under radial symmetric case in the lower supercritical range 3 ≤ N ≤ 9, and give a sufficient condition for the occurrence of type I blowup. The result extends that of Fila and Pulkkinen (2008) in a finite ball to the whole space.
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The authors would like to thank the referees for their helpful comments on the manuscript.
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This work was supported by the National Natural Science Foundation of China (Nos. 41304111, 71372189) and the Department of Science and Technology of Sichuan Province (No. 2017JY0206).
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Ji, R., Li, S. & Chen, H. Nonexistence of Type II Blowup for Heat Equation with Exponential Nonlinearity. Chin. Ann. Math. Ser. B 40, 309–320 (2019). https://doi.org/10.1007/s11401-019-0134-8
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DOI: https://doi.org/10.1007/s11401-019-0134-8