Invariant foliations near normally hyperbolic equilibria for quasilinear parabolic problems

Jan Pruess; Gieri Simonett; Mathias Wilke

Invariant foliations near normally hyperbolic equilibria for quasilinear parabolic problems

Analysis of PDEs 2012-06-07 v1 Dynamical Systems

Authors: Jan Pruess , Gieri Simonett , Mathias Wilke

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.

Keywords

quasilinear parabolic equations normally hyperbolic manifolds invariant foliations stable and unstable manifolds C^1-regularity

Cite

@article{arxiv.1206.1162,
  title  = {Invariant foliations near normally hyperbolic equilibria for quasilinear parabolic problems},
  author = {Jan Pruess and Gieri Simonett and Mathias Wilke},
  journal= {arXiv preprint arXiv:1206.1162},
  year   = {2012}
}

Comments

13 pages, 1 figure

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