摘要
This paper deals with the blowup behavior of the radially symmetric solution of the nonlinear heat equation ut = ?u + e^u in R^N. 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.
This paper deals with the blowup behavior of the radially symmetric solution of the nonlinear heat equation ut = ?u + e^u in R^N. 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.
基金
supported by the National Natural Science Foundation of China(Nos.41304111,71372189)
the Department of Science and Technology of Sichuan Province(No.2017JY0206)
