Invariant foliations near normally hyperbolic equilibria for quasilinear parabolic problems

Published 6 Jun 2012 in math.AP and math.DS | (1206.1162v1)

Abstract: We consider quasilinear parabolic evolution equations in the situation where the set of equilibria forms a finite-dimensional C^1-manifold which is normally hyperbolic. The existence of foliations of the stable and unstable manifolds is shown assuming merely C^1-regularity of the underlying equation.

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