Markov uniqueness of degenerate elliptic operators

Abstract

Let Ω be an open subset of Rd and HΩ - Σdi,j 1 ∂iij ∂j be a second-order partial differential operator on L2(Ω) with domain C∞0(Ω), where the coefficients cij ε W1,∞(Ω) are real symmetric and C = (cij) is a strictly positive-definite matrix