Heat kernel and gradient estimates for kinetic SDEs with low regularity coefficients

A Pesce; HSE); P Chaudru de Raynal; S Menozzi (LaMME; X Zhang

arxiv: 2203.11515 · v1 · pith:DNAMXQPHnew · submitted 2022-03-22 · 🧮 math.AP

Heat kernel and gradient estimates for kinetic SDEs with low regularity coefficients

P Chaudru de Raynal , S Menozzi (LaMME , HSE) , A Pesce , X Zhang This is my paper

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keywords estimatesgradientheatkernelkineticassumptionscoefficientsdegenerate

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

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Heat kernel and gradient estimates for kinetic SDEs with low regularity coefficients

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