On the rates of decay to equilibrium in degenerate and defective Fokker–Planck equations

Arnold A, Einav A, Wöhrer T (2018)

Publication Type: Journal article

Publication year: 2018

Journal

Journal of Differential Equations Elsevier

Book Volume: 264

Pages Range: 6843-6872

Journal Issue: 11

DOI: 10.1016/j.jde.2018.01.052

Abstract

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.

Authors with CRIS profile

Tobias Wöhrer Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Involved external institutions

Technische Universität Wien / Vienna University of Technology AT Austria (AT)

How to cite

APA:

Arnold, A., Einav, A., & Wöhrer, T. (2018). On the rates of decay to equilibrium in degenerate and defective Fokker–Planck equations. Journal of Differential Equations, 264(11), 6843-6872. https://dx.doi.org/10.1016/j.jde.2018.01.052

MLA:

Arnold, Anton, Amit Einav, and Tobias Wöhrer. "On the rates of decay to equilibrium in degenerate and defective Fokker–Planck equations." Journal of Differential Equations 264.11 (2018): 6843-6872.

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