1 |
B. Gidas and J. Spruck, A priori bounds for positive solutions of nonlinear elliptic equations, Commun. Paritial Differentail Equations 6 (1981), no. 8, 883-901
DOI
ScienceOn
|
2 |
J. Bebernes and D. Eberly, Mathematical Problems from Combustion Theory, Applied mathematical Sciences, 83, Springer-Verlag, New York, 1989
|
3 |
K. Deng, Blow-up rates for parabolic systems, Z. Angew. Math. Phys. 47 (1996), no. 1, 132-143
DOI
|
4 |
M. Escobedo and M. A. Herrero, Boundedness and blow up for a semilinear reaction-diffusion system, J. Differentail Equations 89 (1991), no. 1, 176-202
DOI
|
5 |
M. Fila and P. Quittner, The blow-up rate for a semilinear parabolic systems, J. Math. Anal. Appl. 238 (1999), no. 2, 468-476
DOI
ScienceOn
|
6 |
M. Fila and Ph. Souplet, The blow-up rate for semilinear parabolic problems on general domains, NoDEA Nonlinear Differentail Equations Appl. 8 (2001), no. 4, 473-480
DOI
|
7 |
N. Bedjaoui and Ph. Souplet,Critical blowup exponents for a system of reaction-diffusion equations with absorption, Z. Angew. Math. Phys. 53 (2002), no. 2, 197-210
DOI
|
8 |
M. Chlebik and M. Fila, From critical exponents to blow-up rates for parabolic problems, Rend. Mat. Appl. (7) 19 (1999), no. 4, 449-470
|
9 |
O. A. Lady-zenskaja, V. A. Solonnikov, and N. N. Ural'ceva, Linear and quasilinear equations of parabolic type, Amer. Math. Soc. Providence, 1967
|
10 |
H. A. Levine, A Fujita type global existence - global nonexistence theorem for a weakly coupled system of reaction-diffusion equations, Z. Angew. Math. Phys. 42 (1991), no. 3, 408-430
DOI
|
11 |
Z. G. Lin, Blowup estimates for a mutualistic model in ecology, Electron. J. Qual. Theory Differ. Equ. (2002), no. 8, 1-14
|
12 |
S.-C. Fu and J.-S. Guo, Blow-up for a semilinear reaction-diffusion system coupled in both equations ans boundary conditions, J. Math. Anal. Appl. 296 (2002), no. 1, 458-475
|
13 |
B. Hu, Remarks on the blowup estimate for solutions of the heat equation with a non-linear boundary condition, Differential Integral Equations 9 (1996), no. 5, 891-901
|
14 |
B. Hu and H. M. Yin, The profile near blowup time for solution of the heat equation with a nonlinear boundary condition, Trans. Amer. Math. Soc. 346 (1994), no. 1, 117-135
DOI
ScienceOn
|
15 |
K. I. Kim and Z. G. Lin, Blowup estimates for a parabolic system in a three-species cooperating model, J. Math. Anal. Appl. 293 (2004), no. 2, 663-676
DOI
ScienceOn
|
16 |
F. Rothe, Global Solutions of Reaction-diffusion Systems, Lecture Notes in Mathematics, 1072, Springer-Verlag, Berlin, 1984
|
17 |
S. Snoussi and S. Tayachi, Global existence, asymptotic behavior and self-similar solutions for a class of semilinear parabolic systems, Nonlinear Anal. 48 (2002), no. 1, Ser. A : Theory Methods, 13-35
DOI
ScienceOn
|
18 |
P. 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
DOI
|
19 |
M. X. Wang, Blow-up rate estimates for semilinear parabolic systems, J. Differentail Equations 170 (2001), no. 2, 317-324
DOI
ScienceOn
|
20 |
C. V. Pao, Nonlinear Parabolic and Elliptic Equations, Plenum Press, New York, 1992
|