Spectral analysis of Morse-Smale flows I: construction of the anisotropic spaces

2017/03/23 by Dang, Nguyen Viet, Riviere, Gabriel · 3 citations
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1703.08040

Abstract

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.

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