Nonexistence of Type II Blowup for Heat Equation with Exponential Nonlinearity 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： 474        Net amount： 417 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). 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 Download PDF Full-Text