On etablit l'existence et la regularite des solutions pour le probleme de Cauchy associe a l'equation hyperbolique non lineaire avec viscosite non lineaire: u-Σ i=1 n ∂[∂W(p)/∂Pi]/∂x i -Σ i=1 n ∂[∂V(q)/∂qi]/∂x i =f ou p=⊇u, q=⊇u˙
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