Lan Luo, Hongjun Yu
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.
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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.
Key concepts: Fokker–Planck equation, Mathematics, Semigroup, Spectrum (functional analysis), Perturbation (astronomy), Operator (biology), Mathematical analysis, Perturbation theory (quantum mechanics)