Spectrum analysis of the linear Fokker–Planck equation-Reference-Cited by-同舟云学术

Spectrum analysis of the linear Fokker–Planck equation

Published:2017-04-18 Issue:03 Volume:15 Page:313-331
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

Luo Lan¹²,Yu Hongjun³

Affiliation:

1. School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, P. R. China

2. Key Laboratory of Mathematics and Interdisciplinary, Sciences of Guangdong Higher Education Institute, Guangzhou University, Guangzhou 510006, P. R. China

3. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P. R. China

Abstract

In this work, we show the spectrum structure of the linear Fokker–Planck equation by using the semigroup theory and the linear operator perturbation theory. As an application, we show the large time behavior of the solutions to the linear Fokker–Planck equation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530515500219

Reference19 articles.

1. Hypoelliptic regularity in kinetic equations

2. THE GLOBAL CLASSICAL SOLUTION OF THE VLASOV–MAXWELL–FOKKER–PLANCK SYSTEM NEAR MAXWELLIAN

3. Dispersion Relations for the Linearized Fokker-Planck Equation

4. Stability of the Front under a Vlasov–Fokker–Planck Dynamics

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