Analysis of degenerate elliptic operators of Grusin type

Abstract

We analyse degenerate, second-order, elliptic operators H in divergence form on L 2(R n × R m ). We assume the coefficients are real symmetric and a 1 H δ ≥ H ≥ a2 Hδ for some a1, a2 > 0 where Hδ=-∇x1·(c δ1,δ′1 (x1) ∇x1) - cδ2,δ′2 (x1 Show more