English

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

Analysis of PDEs 2017-12-06 v1 Spectral Theory

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.

Keywords

Cite

@article{arxiv.1712.01660,
  title  = {On the Kramers-Fokker-Planck equation with decreasing potentials in dimension one},
  author = {Radek Novak and Xue Ping Wang},
  journal= {arXiv preprint arXiv:1712.01660},
  year   = {2017}
}