Abstract
In this paper we provide and analyze a nonlinear degenerate parabolic equation in one space dimension with the following smoothing property: If the initial data is only uniformly continuous, at positive times, the solution has bounded second derivatives (it belongs to W 2, ∞). We call this surprising phenomenon a W 2, ∞ regularizing effect. So far, such phenomena have only been observed in uniformly parabolic equations.
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