Harnack inequality for a class of Kolmogorov-Fokker-Planck equations in non-divergence form

Abstract

We prove invariant Harnack inequalities for certain classes of non-divergence form equations of Kolmogorov type. The operators we consider exhibit invariance properties with respect to a homogeneous Lie group structure. The coefficient matrix is assumed either to satisfy a Cordes-Landis condition on the eigenvalues, or to admit a uniform modulus of continuity.

Author's Accepted Manuscript

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