Blow-up rate estimates for semilinear parabolic systems

Journal of Differential Equations

Volumn 170, Issue 2, 2001, Pages 317-324

  Wang, Mingxin ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

Semilinear parabolic systems; blow up rate estimates; upper and lower bounds

Indexed keywords

EID: 0035285489     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.2000.3823     Document Type: Article

References (7)

1. Caristi G., Mitidieri E. Blow-up estimates of positive solutions of a parabolic system. J. Differential Equations. 113:1994;265-271.
2. Escobedo M., Herrero M. A. A semilinear parabolic system in a bounded domain. Ann. Mat. Pura Appl. 165:1993;315-336.
3. Friedman A., Mcleod B. Blow-up of positive solutions of semilinear heat equations. Indiana Univ. Math. J. 34:1985;425-447.
4. Hu B., Yin H. M. The profile near blow-up time for solution of the heat equation with a nonlinear boundary condition. Trans. Amer. Math. Soc. 346:1994;117-135.
5. Lin Z. G., Wang M. X. The blow-up properties of solutions to semilinear heat equations with nonlinear boundary conditions. Z. Angew. Math. Phys. 50:1999;361-374.
6. Wang M. X. Global existence and finite time blow up for a reaction-diffusion system. Z. Angew. Math. Phys. 51:2000;160-167.
7. ∞ blow-up estimate for a nonlinear heat equation. Comm. Pure Appl. Math. 38:1985;291-295.