Entropy dissipation along the Ornstein–Uhlenbeck semigroup: $\frac{d}{dt}\int P_tf\log P_tf\,d\gamma=-\int ((P_tf)')^2/P_tf\,d\gamma$

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Entropy dissipation along the Ornstein–Uhlenbeck semigroup: $\frac{d}{dt}\int P_tf\log P_tf\,d\gamma=-\int ((P_tf)')^2/P_tf\,d\gamma$ · Prove2Me