6Y.J. Chen and M. X. Wang, Blow-up problems for partial differential equations and systems of parabolic type,in "Recent Progress in Nonlinear Partial Differential Equations and Viscosity Solutions' Eds. Y. Du, H, Ishii andW. Y. Lin, World Scientific Publishing, 2009. 245-281 ISBN: 981-283-473-7.
7A. S. Kalashnikov, The nature of the propagation of perturbations in problems of non-linear heat conductionwith absorption, USSR Comp. Math. Math. Phys. 14 (1974),70-85.
8Gu Y G Necessary and sufficient conditions of extinction of solution on parabolic equations [J].Acta. Math.Sinica, 1994,37: 73-79 (in Chinese).
9GalaktionovV A, Vazquez J L. Asymptotic behaviour of nonlinear parabolic equations with criticalexponents [J].A dynamical system approach, J. Funct. Anal, 1991,100:435-462.
10Galaktionov V A, Vazquez J L. Extinction for a quasilinear heat equation with absorption I [J]. Technique ofintersection comparison. Comm. Partial Differential Equations, 1994,19: 1075-1106.
二级参考文献7
1Bebernes J, Bressan A, Lacey A. Total blow-up versus single point blow-up[J]. J Differential Equations, 1988, 73(1):30-44.
2Bricher S. Blow-up behaviour for nonlinearly perturbed semilinear parabolic equations Proc[J]. Roy Soe Edinburgh Sect A, 1994, 124:947-969.
3Souplet P. Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source[J]. J Differential Equations, 1999, 153:374-406.
4Okada A, Fukuda I. Total versus single point blow-up of solutions of a semilinear parabolic equation with localized reaction[J]. Math Anal Appl, 2003, 281(2):485-500.
5Liu Qilin, Chen Yichao, Lu shengqi. Uniform blow-up pro- files for nonlinear and nonlocal reaction-diffusion equa- tions[J]. Nonlinear Analysis, 2009, 71(5/6):1572-1583.
6Soupier P. Blow up in nonlocal reaction-diffusion equations [J]. SIAM J Math Anal, 1998, 29(6) : 1301-1334.
7Wang Mingxin, Wang Yuanming. Properties of postive sdu- tions for non-local reaction-diffution problems [J ]. Math Methods Appl Sci, 1996, 19(14) : 1141-1156.