The asymptotic completeness of inertial manifolds
Abstract
An investigation of the asymptotic completeness property for inertial manifolds leads to the concept of `flow-normal hyperbolicity', which is more natural in this case than the traditional form of normal hyperbolicity derived from the linearized flow near the manifold. An example shows that without flow-normal hyperbolicity asymptotic completeness cannot be guaranteed. The analysis also yields a new result on the asymptotic equivalence of ordinary differential equations.
- Publication:
-
Nonlinearity
- Pub Date:
- September 1996
- DOI:
- 10.1088/0951-7715/9/5/013
- Bibcode:
- 1996Nonli...9.1325R