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Absolute Continuity of Stable Foliations for Mappings of Banach Spaces.
- Source :
-
Communications in Mathematical Physics . Sep2017, Vol. 354 Issue 2, p591-619. 29p. - Publication Year :
- 2017
-
Abstract
- We prove the absolute continuity of stable foliations for mappings of Banach spaces satisfying conditions consistent with time- t maps of certain classes of dissipative PDEs. This property is crucial for passing information from submanifolds transversal to the stable foliation to the rest of the phase space; it is also used in proofs of ergodicity. Absolute continuity of stable foliations is well known in finite dimensional hyperbolic theory. On Banach spaces, the absence of nice geometric properties poses some additional difficulties. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00103616
- Volume :
- 354
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Communications in Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 123651805
- Full Text :
- https://doi.org/10.1007/s00220-017-2912-z