On the fundamental solution for degenerate Kolmogorov equations with rough coefficients
Analysis of PDEs
2021-12-14 v1
Abstract
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. Moreover, we prove Gaussian upper and lower bounds for it, and other related properties.
Keywords
Cite
@article{arxiv.2112.06042,
title = {On the fundamental solution for degenerate Kolmogorov equations with rough coefficients},
author = {Anceschi Francesca and Rebucci Annalaura},
journal= {arXiv preprint arXiv:2112.06042},
year = {2021}
}
Comments
20 pages