Global existence and blow-up for a completely coupled Fujita type system
Rencławowicz, Joanna
Applicationes Mathematicae, Tome 27 (2000), p. 203-218 / Harvested from The Polish Digital Mathematics Library
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The Fujita type global existence and blow-up theorems are proved for a reaction-diffusion system of m equations (m>1) in the form uit=Δui+ui+1pi,i=1,...,m-1, umt=Δum+u1pm,x∈ℝN,t>0, with nonnegative, bounded, continuous initial values and positive numbers pi. The dependence on pi of the length of existence time (its finiteness or infinitude) is established.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:219268 
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     year = {2000},
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Rencławowicz, Joanna. Global existence and blow-up for a completely coupled Fujita type system. Applicationes Mathematicae, Tome 27 (2000) pp. 203-218. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv27i2p203bwm/

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