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math.AP2023
New perspectives on recent trends for Kolmogorov operators
Francesca Anceschi, Mirco Piccinini, Annalaura Rebucci
After carrying out an overview on the non Euclidean geometrical setting suitable for the study of Kolmogorov operators with rough coefficients, we list some properties of the funct…
math.AP2023
On the obstacle problem associated to the Kolmogorov-Fokker-Planck operator with rough coefficients
Francesca Anceschi, Annalaura Rebucci
This work is devoted to the study of the obstacle problem associated to the Kolmogorov-Fokker-Planck operator with rough coefficients through a variational approach. In particular,…
math.AP2021
On the fundamental solution for degenerate Kolmogorov equations with rough coefficients
Anceschi Francesca, Rebucci Annalaura
The aim of this work is to prove the existence of a fundamental solution associated to the Kolmogorov equation L u = f with measurable coefficients in the dilation invariant case.…