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Linear and quasilinear evolution equations in the context of weighted -spaces
Mathias Wilke
In 2004, the article "Maximal regularity for evolution equations in weighted -spaces" by J. Prüss and G. Simonett has been published in Archiv der Mathematik. We provide a sur…
Addendum to the Paper "On Quasilinear Parabolic Evolution Equations in Weighted -Spaces II"
Jan Pruess, Mathias Wilke
This note is devoted to a small, but essential, extension of Theorem 2.1 of our recent paper [6]. The improvement is explained in Section 1 and proved in Section 2. The importance…
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…
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…