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Global existence and blow-up for a completely coupled Fujita type system

Joanna Rencławowicz (2000)

Applicationes Mathematicae

The Fujita type global existence and blow-up theorems are proved for a reaction-diffusion system of m equations (m>1) in the form $u_{i t} = Δ u_{i} + u_{i + 1}^{p_{i}}, i = 1, . . ., m - 1,$ $u_{m t ...}$

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