Spectral analysis of Morse-Smale flows I: construction of the anisotropic spaces
- Resource Type
- Working Paper
- Authors
- Dang, Nguyen Viet; Riviere, Gabriel
- Source
- Subject
- Mathematical Physics
- Language
We prove the existence of a discrete correlation spectrum for Morse-Smale flows acting on smooth forms on a compact manifold. This is done by constructing spaces of currents with anisotropic Sobolev regularity on which the Lie derivative has a discrete spectrum.