A. Arnold, A. Einav, T. Wöhrer:
"On the rates of decay to equilibrium in degenerate and defective Fokker-Planck equations";
Journal of Differential Equations, 1 (2018).

Kurzfassung englisch:
We establish sharp long time asymptotic behaviour for a family of entropies to defective Fokker-Planck equations and show that, much like defective finite dimensional ODEs, their decay rate is an exponential multiplied by a polynomial in time. The novelty of our study lies in the amalgamation of spectral theory and a quantitative non-symmetric hypercontractivity result, as opposed to the usual approach of the entropy method.

Fokker-Planck equations; Spectral theory; Non-symmetric hypercontractivity; Long time behaviour

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