[1] Escobedo M, Herrero M A. A semilinear parabolic system in a bounded domain. Ann Mate Pura Appl, 1993, CLXV(IV)}: 315--336
[2] Caristi G, Mitidiert E. Blow-up estimates of positive solutions of parabolic system. J Diff Eqs, 1994, 113: 265--271
[3] Friedman A. Blow-up of solutions of nonlinear parabolic equations//Ni W M, Peletier P L, Serrin J. Nonlinear Diffusion Equations and Their Equilibrium States I. New York: Springer, 1988, 301--318
[4] Galaktionov V, Vazquez J L. Necessary and sufficient conditions for complete blow-up and extinction for one-dimensional quasilinear heat equations. Arch Rational Mech Anal, 1995, 129: 225--244
[5] Deng W B. Global existence and finite time blow up for a degenerate reaction-diffusion system. Nonlinear Anal, 2005, 60: 977--991
[6] Lei P D, Zheng S N. Global and nonglobal weak solutions to a degenerate parabolic system. J Math Anal Appl, 2006, 324: 177--198
[7] Ling Z Q, Wang Z J. Blow-up and global existence for a degenerate parabolic system with nonlocal sources. Discrete Dynamics in Nature and Society, 2012, Vol 2012, Article ID 956564, 12 pages
[8] Chen Y J. Blow-up and global existence for a nonlocal degenerate parabolic system. Acta Math Sci, 2010, 30A: 386--396
[9] Ladyzhenskaja O A, Solonnikov V A, Uraltzeva N N. Linear and Quasilinear Equations of Parabolic Type. Transl Math Mono 23, Providence RI: AMS, 1968
[10] Deng W B, Li Y X, Xie C H. Blow-up and global existence for a nonlocal degenerate parabolic system. J Math Anal Appl, 2003, 277: 199--217
[11] Lu H H, Wang M X. Global solutions and blow-up problems for a nonlinear degenerate parabolic system coupled
via nonlocal sources. J Math Anal Appl, 2007, 333: 984--1007
[12] Ling Z Q, Wang Z J. Global existence and blow-up for a degenerate reaction-diffusion system with nonlocal sources. Appl Math Letters, 2012, 25: 2198--2202
[13] Courant R, Hilbert D. Methors of Mathematical Physics. Vol 1. New York: Interscience, 1962 |