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

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

doi:10.1016/j.bulsci.2023.103229

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

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

Laboratoire de Mathématiques Jean Leray
Université d'Evry Val d'Essonne
National Research University
Dipartimento di Matematica
Beijing Institute of Technology

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

5 Citations (Scopus)

Résumé

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.

langue originale	Anglais
Numéro d'article	103229
journal	Bulletin des Sciences Mathematiques
Volume	183
Les DOIs	https://doi.org/10.1016/j.bulsci.2023.103229
état	Publié - 1 mars 2023
Modification externe	Oui

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10.1016/j.bulsci.2023.103229

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@article{c9d808c70dca4471b1ea7f446e112d77,

title = "Heat kernel and gradient estimates for kinetic SDEs with low regularity coefficients",

abstract = "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.",

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

author = "\{Chaudru de Raynal\}, \{P. E.\} and S. Menozzi and A. Pesce and X. Zhang",

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier Masson SAS",

year = "2023",

month = mar,

day = "1",

doi = "10.1016/j.bulsci.2023.103229",

language = "English",

volume = "183",

journal = "Bulletin des Sciences Mathematiques",

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TY - JOUR

T1 - Heat kernel and gradient estimates for kinetic SDEs with low regularity coefficients

AU - Chaudru de Raynal, P. E.

AU - Menozzi, S.

AU - Pesce, A.

AU - Zhang, X.

PY - 2023/3/1

Y1 - 2023/3/1

N2 - 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.

AB - 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.

KW - Degenerate Kolmogorov equations

KW - Heat kernel and gradient estimates

KW - Kinetic dynamics

KW - Parametrix

UR - https://www.scopus.com/pages/publications/85148647821

U2 - 10.1016/j.bulsci.2023.103229

DO - 10.1016/j.bulsci.2023.103229

M3 - Article

AN - SCOPUS:85148647821

SN - 0007-4497

VL - 183

JO - Bulletin des Sciences Mathematiques

JF - Bulletin des Sciences Mathematiques

M1 - 103229

ER -

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

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