On Convergence of Solutions to Equilibria for Quasilinear Parabolic Problems

@inproceedings{Simonett2008OnCO,
  title={On Convergence of Solutions to Equilibria for Quasilinear Parabolic Problems},
  author={Gieri Simonett and Rico Zacher},
  year={2008}
}
We show convergence of solutions to equilibria for quasilinear parabolic evolution equations in situations where the set of equilibria is nondiscrete, but forms a finite-dimensional C1-manifold which is normally hyperbolic. Our results do not depend on the presence of an appropriate Lyapunov functional as in the Lojasiewicz-Simon approach, but are of local nature. 

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