Asymptotic Behavior of Solutions of Parabolic Equations with Discontinuous Coefficients.

Kjell-Ove Widman

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