On the fundamental solution for degenerate Kolmogorov equations with rough coefficients

Anceschi Francesca; Rebucci Annalaura

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arXiv · 2112.06042

On the fundamental solution for degenerate Kolmogorov equations with rough coefficients

Anceschi Francesca·Rebucci Annalaura

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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.

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Anceschi Francesca, Rebucci Annalaura. 2021-12-11. On the fundamental solution for degenerate Kolmogorov equations with rough coefficients. https://arxiv.org/abs/2112.06042

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