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math.AP2025

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies

Lei Qin

In this paper, we prove that the first (positive) Dirichlet eigenvalue of the Ornstein-Uhlenbeck operator \[ L(u)=Δu-(\nabla u,x), \] is strongly log-concave if the domain is bound…