Abstract

A Harnack inequality for nonnegative strong solutions to inhomogeneous, linear, nondivergence-form parabolic PDEs of Monge-Ampère type is proved. Such parabolic PDEs are shaped by convex functions having certain geometric properties and they include instances of Grushin-type parabolic PDEs as well as other PDEs whose degeneracies/singularities are quantified by the geometric properties of the shaping convex functions.

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