Published Paper

Inserted: 6 may 2024
Last Updated: 1 oct 2024

Journal: Journal of Mathematical Analysis and Applications
Volume: 543
Number: 2, Part 1
Pages: 128909
Year: 2024
Doi: https://doi.org/10.1016/j.jmaa.2024.128909

Abstract:

We consider Kolmogorov-Fokker-Planck equations with unbounded drift terms which are only measurable in time and locally Hölder continuous in space. In particular, we extend the parametrix method to this setting and we prove existence and uniqueness of measure solutions to the associated Cauchy problem, as well as the equivalence with the corresponding stochastic formulation.

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