Compactness Criteria for the Resolvent of the Fokker-Planck operator

Wei-Xi Li

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arXiv · 1510.01567

Compactness Criteria for the Resolvent of the Fokker-Planck operator

Wei-Xi Li

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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.

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Wei-Xi Li. 2015-10-06. Compactness Criteria for the Resolvent of the Fokker-Planck operator. https://arxiv.org/abs/1510.01567

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