Harnack inequality and Green function for a certain class of degenerate elliptic differential operators.

Oscar Salinas

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Consider 3-dimensional Brownian motion started on the unit sphere {|x| = 1} with initial density ρ. Let ρt be the first hitting density on the sphere {|x| = t + 1}, t > 0. Then the linear operators T defined by T ρ = ρ form a semigroup with an infinitesimal generator which is approximately the square root of the Laplacian. This paper studies the analogous situation for Brownian motion with a drift , where is small in a suitable scale invariant norm.

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Displaying similar documents to “Harnack inequality and Green function for a certain class of degenerate elliptic differential operators.”

Embedding theorems into lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations.

Hölder regularity theorem for a class of linear nonuniformly elliptic operators with measurable coefficients

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Functions with derivatives in spaces of Morrey type and elliptic equations in unbounded domains

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The laplacian and the discrete laplacian

A priori inequalities in $L^{\infty} (Ω)$ for solutions of elliptic equations in unbounded domains