On the Kramers-Fokker-Planck equation with decreasing potentials in dimension one

2017/12/05 by Novak, Radek, Wang, Xue Ping · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1712.01660

Abstract

For quickly decreasing potentials with one position variable, the first threshold zero is always a resonance of the Kramers-Fokker-Planck operator. In this article we study low-energy spectral properties of the operator and calculate large time asymptotics of solutions in terms of the Maxwellian.

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• The Kramers-Fokker-Planck equation with a decaying potential in \mathbb Rⁿ, n ≥ 4

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