JournalsjstVol. 10, No. 1pp. 1–32

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

  • Radek Novak

    Czech Technical University, Prague, Czechia

  • Xue Ping Wang

    Université de Nantes, France
On the Kramers–Fokker–Planck equation with decreasing potentials in dimension one cover

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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.

Cite this article

Radek Novak, Xue Ping Wang, On the Kramers–Fokker–Planck equation with decreasing potentials in dimension one. J. Spectr. Theory 10 (2020), no. 1, pp. 1–32

DOI 10.4171/JST/284