J.M. Chadam, A. Pierce and H.M. Yin, The blowup property of solutions to some diffusion equations with localized nonlinear reactions, J. Math. Anal. Appl. 169 (1992), no. 2, 313--328.
K. Deng, Nonlocal nonlinearity versus global blow-up, Math. Applicata. 8 (1995), no. 1, 124--129.
M. Fila and P. Quittner, The blow-up rate for a semilinear parabolic system, J. Math. Anal. Appl. 238 (1999), no. 2, 468--476.
O.A. Ladyzenskaja, V.A. Sol'onnikov and N.N. Uralceva, Linear and Quasi-Linear Equations of Parabolic Type, Amer. Math. Soc. Transl. 23, Amer. Math. Soc. 1968.
H.L. Li and M.X. Wang, Properties of blow-up solutions to a parabolic system with nonlinear localized terms, Discrete Contin. Dyn. Syst. 13 (2005), no. 3, 683--700.
F.J. Li, S.N. Zheng and B.C. Liu, Blow-up properties of solutions for a multi-coupled parabolic system, Nonlinear Anal. 68 (2008), no. 2, 288--303.
Q.L. Liu, Y.X. Li and H.J. Gao, Uniform blow-up rate for diffusion equations with localized nonlinear source, J. Math. Anal. Appl. 320 (2006), no. 2, 771--778.
A. Okada and I. Fukuda, Total versus single point blow-up of solutions of a semilinear parabolic equation with localized reaction, J. Math. Anal. Appl. 281 (2003), no. 2, 485--500.
C.V. Pao, Nonlinear Parabolic and Elliptic Equations, Plenum Press, New York, 1992.
M. Pedersen and Z.G. Lin, Coupled diffusion systems with localized nonlinear reactions, Comput. Math. Appl. 42 (2001), no. 6-7, 807--816.
J.P. Pinasco and J.D. Rossi, Simultaneous versus non-simultaneous blow-up, New Zealand J. Math. 29 (2000), no. 1, 55--59.
F. Quiros and J.D. Rossi, Non-simultaneous blow-up in a semilinear parabolic system, Z. Angew. Math. Phys. 52 (2001), no. 2, 342--346.
J.D. Rossi and P. Souplet, Coexistence of simultaneous and nonsimultaneous blow-up in a semilinear parabolic system, Differential Integral Equations 18 (2005), no. 4, 405--418.
A.A. Samarskii, V.A. Galaktionov, S.P. Kurdyumov and A.P. Mikhailov, Blow-up in Quasilinear Parabolic Equations, Walter de Gruyter, Berlin, New York, 1995.
Ph. Souplet, Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source, J. Differential Equations 153 (1999), no. 2, 374--406.
Ph. Souplet and S. Tayachi, Optimal condition for non-simultaneous blow-up in a reaction-diffusion system, J. Math. Soc. Japan 56 (2004), no. 2, 571--584.
M.X. Wang, Blow-up rate estimates for semilinear parabolic systems, J. Differential Equations 170 (2001), no. 2, 317--324.
M.X. Wang, Blow-up rate for a semilinear reaction diffusion system, Comput. Math. Appl. 44 (2002), no. 5-6, 573--585.
S.N. Zheng, Nonexistence of positive solutions to a semilinear elliptic system and blow up estimates for a reaction-diffusion system, J. Math. Anal. Appl. 232 (1999), no. 2,293--311.
S.N. Zheng and J.H. Wang, Total versus single point blow-up in heat equations with coupled localized sources, Asymptot. Anal. 51 (2007), no. 2, 133--156.