Compactness Criteria for the Resolvent of the Fokker-Planck operator

Abstract

In this paper we study the spectral property of a Fokker-Planck operator with potential. By virtue of a multiplier method inspired by Nicolas Lerner, we obtain new compactness criteria for its resolvent, involving the control of the positive eigenvalues of the Hessian matrix of the potential.

References in corpus (2)

• Hypocoercivity and exponential time decay for the linear inhomogeneous relaxation Boltzmann equation
• On the spectrum of non-selfadjoint Schrödinger operators with compact resolvent

Cited by in corpus (1)

• Global subelliptic estimates for Kramers-Fokker-Planck operators with some class of polynomials