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| Nonexistence of Type II Blowup for Heat Equation with Exponential Nonlinearity |
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Citation： |
Ruihong JI,Shan LI,Hui CHEN.Nonexistence of Type II Blowup for Heat Equation with Exponential Nonlinearity[J].Chinese Annals of Mathematics B,2019,40(2):309~320 |
| Page view： 1389
Net amount： 1263 |
Authors： |
Ruihong JI; Shan LI;Hui CHEN |
Foundation： |
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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| Abstract： |
This paper deals with the blowup behavior of the radially symmetric
solution of the nonlinear heat equation $u_t=\Delta u+\rme^u$ in
$\mathbb{R}^N$. The authors show the nonexistence of type II blowup
under radial symmetric case in the lower supercritical range $3\leq
N\leq9$, 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. |
Keywords： |
Nonlinear heat equation, Type II blowup, Exponentialnonlinearity |
Classification： |
35K55, 35B44, 35K05 |
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