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

Autor:	Amit Einav, Tobias Wöhrer, Anton Arnold
Rok vydání:	2018
Předmět:	Spectral theory Applied Mathematics 010102 general mathematics Degenerate energy levels Ode 01 natural sciences Exponential function 010101 applied mathematics Fokker–Planck equation 0101 mathematics Entropy (arrow of time) Analysis Mathematical physics Mathematics
Zdroj:	Journal of Differential Equations. 264:6843-6872
ISSN:	0022-0396
DOI:	10.1016/j.jde.2018.01.052
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::169d4d9b078264e6a1d391eed7bc410f https://doi.org/10.1016/j.jde.2018.01.052 Zobrazit plný text záznamu Full Text from ScienceDirect