| Full text | |
| Author(s): |
Weber, Joa
Total Authors: 1
|
| Document type: | Journal article |
| Source: | SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 9, n. 2, p. 36-pg., 2015-12-01. |
| Abstract | |
We reprove the lambda-Lemma for finite dimensional gradient flows by generalizing the well-known contraction method proof of the local (un)stable manifold theorem. This only relies on the forward Cauchy problem. We obtain a rather quantitative description of (un)stable foliations which allows to equip each leaf with a copy of the flow on the central leaf-the local (un)stable manifold. These dynamical thickenings are key tools in our recent work (Weber in Topol Methods Nonlinear Anal, to appear. arXiv: 1410.0995). The present paper provides their construction. (AU) | |
| FAPESP's process: | 13/20912-4 - Infinite dimensional hyperbolic dynamics |
| Grantee: | Joachim Weber |
| Support Opportunities: | Regular Research Grants |