Entropy estimate for degenerate SDEs with applications to nonlinear kinetic Fokker–Planck equations

The relative entropy for two different degenerate diffusion processes is estimated by using the Wasserstein distance of initial distributions and the difference between coefficients. As applications, the entropy-cost inequality and exponential ergodicity in entropy are derived for distribution depen...

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Bibliographic Details
Main Authors: Qian, Z, Ren, P, Wang, F-Y
Format: Journal article
Language:English
Published: Society for Industrial and Applied Mathematics 2024