Sharp Harnack inequalities for a family of hypoelliptic diffusions
P.W.Y. Lee
TL;DR
This paper establishes precise Harnack inequalities for a class of hypoelliptic diffusions of Kolmogorov-Fokker-Planck type, advancing understanding of their regularity properties.
Contribution
It introduces sharp Harnack inequalities specifically tailored for a family of hypoelliptic diffusions, filling a gap in the theoretical analysis of these processes.
Findings
Proved sharp Harnack inequalities for hypoelliptic diffusions
Enhanced understanding of regularity properties of Kolmogorov-Fokker-Planck processes
Provided tools for further analysis of hypoelliptic PDEs
Abstract
We prove sharp Harnack inequalities for a family of Kolmogorov-Fokker-Planck type hypoelliptic diffusions.
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