Acta mathematica scientia,Series B
• Articles • Previous Articles Next Articles
LIU Ji-Lin, XIE Chun-Gong, CHEN Song-Lin
Online:
Published:
Abstract:
In this paper, the global blowup properties of solutions for a class of non- linear non-local reaction-diffusion problems are investigated by the methods of the prior estimates. Moreover, the blowup rate estimate of the solution is given.
Key words: Non-local reaction-diffusion equation;blow-up rate;a priori estimate
CLC Number:
LIU Ji-Lin, XIE Chun-Gong, CHEN Song-Lin. GLOBAL BLOWUP AND BLOWUP RATE ESTIMATES OF SOLUTIONS FOR A CLASS OF NONLINEAR NON-LOCAL REACTION-DIFFUSION PROBLEMS[J].Acta mathematica scientia,Series B, 2004, 24(2): 259-264.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://actams.apm.ac.cn/sxwlxbB/EN/
http://actams.apm.ac.cn/sxwlxbB/EN/Y2004/V24/I2/259
[1] Wang M X, Wang Y M. Properties of positive solutions for non-local reaction-diffusion problems. Math Methods Appl Sci, 1996, 19: 1141-1156 [2] Souplet P. Uniform blow-up profiles and boundary behavior for diffusion equations with non-local nonlinear source. J Differential Equations, 1999, 153: 374-406 [3] Friedman F, McLeod B. Blow-up of positive solutions of semilinear heat equations. Indiana Univ Math J, 1985, 34: 425-447
Cited