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L’existence et le comportement asymptotique des solutions d’ondes progressives pour une équation fortement non linéaire

Ahmed Hamydy — 2008

Annales mathématiques Blaise Pascal

Dans ce papier on étudie l’existence et le comportement asymptotique des solutions de type ondes progressives à propagations finies de l’équation U t = A U x p - 2 U x x + K U q . On prouve que ces solutions existent si et seulement si q < 1 et c < 0 ou bien q ≤ p - 1 et c > 0 . On donne aussi le comportement asymptotique de ces solutions.

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