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

被引：0
|
作者：
Novak, Radek [1 ]
Wang, Xue Ping [2 ]
机构：
[1] Czech Tech Univ, Fac Nucl Sci & Phys Engn, Trojanova 13, CZ-12000 Prague 2, Czech Republic
[2] Univ Nantes, Lab Math Jean Leray, F-44322 Nantes 3, France
来源：
JOURNAL OF SPECTRAL THEORY | 2020年 / 10卷 / 01期
关键词：
Kramers-Fokker-Planck equation; return to local equilibrium; threshold spectral analysis; pseudo-spectral estimates; HYPOELLIPTICITY; SCATTERING; RESOLVENT;
D O I：
10.4171/JST/284
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：1 / 32
页数：32
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