%A Kruck, Amina
%A Reitman, Volker
%D 2017
%T Upper Hausdorff dimension estimates for invariant sets of evolutionary systems on Hilbert manifolds
%K
%X We prove a generalization of the Douady-Oesterl\'{e} theorem on the upper bound of the Hausdorff dimension of an invariant set of a smooth map on an infinite dimensional manifold. It is assumed that the linearization of this map is a noncompact linear operator. A similar estimate is given for the Hausdorff dimension of an invariant set of a dynamical system generated by a differential equation on a Hilbert manifold.
%U http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/equadiff/article/view/811
%J Proceedings of Equadiff 2017 Conference
%0 Journal Article
%P 247-254%8 2017-12-29