On the fundamental solution for degenerate Kolmogorov equations with rough coefficients

Published 11 Dec 2021 in math.AP | (2112.06042v1)

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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