, Volume 60, Issue 6, pp 847-864
Date: 12 Dec 2010

A sixth order degenerate equation with the higher order p-laplacian operator

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Abstract

We consider a initial-boundary value problem for a sixth order degenerate parabolic equation. Under some assumptions on the initial value, we establish the existence of weak solutions by the time-discrete method. The uniqueness, asymptotic behavior and the finite speed of propagation of perturbations of solutions are also discussed.

Communicated by Peter Takac