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arXiv · 1206.1162

Invariant foliations near normally hyperbolic equilibria for quasilinear parabolic problems

Jan Pruess·Gieri Simonett·Mathias Wilke
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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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Jan Pruess, Gieri Simonett, Mathias Wilke. 2012-06-06. Invariant foliations near normally hyperbolic equilibria for quasilinear parabolic problems. https://arxiv.org/abs/1206.1162

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