Geodesic
Global existence and blow-up for a completely coupled Fujita type system
Applicationes Mathematicae, Tome 27 (2000) no. 2, pp. 203-218.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The Fujita type global existence and blow-up theorems are proved for a reaction-diffusion system of m equations (m>1) in the form $u_{it} = Δu_i + u_{i+1}^{p_i}, i=1,..., m-1,$ $u_{mt} = Δu_m + u_1^{p_m}, x ∈ ℝ^N, t > 0,$ with nonnegative, bounded, continuous initial values and positive numbers $p_i$. The dependence on $p_i$ of the length of existence time (its finiteness or infinitude) is established.
DOI : 10.4064/am-27-2-203-218

Joanna Rencławowicz 1

1 
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Joanna Rencławowicz. Global existence and blow-up for a completely coupled Fujita type system. Applicationes Mathematicae, Tome 27 (2000) no. 2, pp. 203-218. doi : 10.4064/am-27-2-203-218. http://geodesic.mathdoc.fr/articles/10.4064/am-27-2-203-218/

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