Heat Kernel and Gradient Estimates for Kinetic SDEs with Low Regularity Coefficients

P. E. Chaudru de Raynal,S. Menozzi,A. Pesce, X. Zhang

Bulletin des sciences mathématiques（2023）

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摘要

We establish heat kernel and gradient estimates for the density of kinetic degenerate Kolmogorov stochastic differential equations. Our results are established under somehow minimal assumptions that guarantee the SDE is weakly well posed.

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关键词

Degenerate Kolmogorov equations,Kinetic dynamics,Heat kernel and gradient estimates,Parametrix

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