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The existence and the asymptotic behavior of traveling waves solutions for a strongly nonlinear equation. (L’existence et le comportement asymptotique des solutions d’ondes progressives pour une équation fortement non linéaire.) (French) Zbl 1163.35424
Summary: We study the existence and the asymptotic behavior of traveling waves solutions for the equation U t =A(|U x | p-2 U x ) x +KU q . We prove that these solutions exist if and only if q<1 and c<0 or qp-1 and c>0. We introduce also the asymptotic behavior of these solutions.
MSC:
35K65Parabolic equations of degenerate type
35K55Nonlinear parabolic equations
35B40Asymptotic behavior of solutions of PDE