Normally elliptic singular perturbation problems: local invariant manifolds and applications

In this thesis, we study the normally elliptic singular perturbation problems including both finite and infinite dimensional cases, which could also be non-autonomous. In particular, we establish the existence and smoothness of O(1) local invariant manifolds and provide various estimates which are i...

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Bibliographic Details
Main Author: Lu, Nan
Published: Georgia Institute of Technology 2011
Subjects:
Online Access:http://hdl.handle.net/1853/41090