| Title:
|
Upper Hausdorff dimension estimates for invariant sets of evolutionary systems on Hilbert manifolds (English) |
| Author:
|
Kruck, Amina |
| Author:
|
Reitmann, Volker |
| Language:
|
English |
| Journal:
|
Proceedings of Equadiff 14 |
| Volume:
|
Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017 |
| Issue:
|
2017 |
| Year:
|
|
| Pages:
|
247-254 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove a generalization of the Douady-Oesterlé 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. (English) |
| Keyword:
|
Hilbert manifold, Hausdorff dimension, singular value |
| MSC:
|
35B40 |
| MSC:
|
35K57 |
| . |
| Date available:
|
2019-09-27T08:06:43Z |
| Last updated:
|
2019-09-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/703054 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| . |
