GEVREY CLASS SMOOTHING EFFECT FOR THE PRANDTL EQUATION
Résumé
In this paper we study Gevrey smoothing effects of the Caucy problem for Prandtl boundary layer equation. It is a degenerate parabolic type equation. Under the Oleinik's monotonicity assumption, we prove that any local solution in Sobolev space is belong to some Gevrey class with respect to tangential variables at positive time.
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