The Harnack Inequality for a Class of Degenerate Elliptic Operators
The Harnack Inequality for a Class of Degenerate Elliptic Operators
We prove a Harnack inequality for distributional solutions to a type of degenerate elliptic partial differential equations in N dimensions. The differential operators in question are related to the Kolmogorov operator, made up of the Laplacian in the last N−1 variables, a first-order term corresponding to a shear flow in …