2 papers
math.AP2012
Invariant foliations near normally hyperbolic equilibria for quasilinear parabolic problems
Jan Pruess, Gieri Simonett, Mathias Wilke
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 existen…
math.AP2010
On conserved Penrose-Fife type models
Jan Pruess, Mathias Wilke
In this paper we investigate quasilinear parabolic systems of conserved Penrose-Fife type. We show maximal - regularity for this problem with inhomogeneous boundary data. Fur…