Abstract

Soit Ω un sous ensemble ouvert borne de R N a frontiere lisse ∂Ω. On considere le probleme u t −Δu=f(u) dans Ω×(o,T); u=0 sur ∂Ω×(o,T); u(x,o)=u 0 (x) ∀x∈Ω; ou f:R + →R + est localement de Lipschitz, non decroissante et f(o)=0

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