Global existence for semilinear parabolic systems.

On etudie des problemes aux valeurs limites et initiales paraboliques semilineaires de la forme: ∂u/∂t+A(t) u=f(t,x,u,Du,..., D 2m−1 u) dans Ω×(t 0 ,∞) B(t)u=0 sur ∂Ω×(t 0 ,∞), u(.,t 0 )=u 0 sur Ω, ou Ω est un domaine de R n

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