Compactness Criteria for the Resolvent of the Fokker-Planck operator
classification
🧮 math.AP
math.SP
keywords
compactnesscriteriafokker-planckoperatorpotentialresolventcontroleigenvalues
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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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