On an estimate of Cranston and McConnell for elliptic diffusions in uniform domains (Q1087242)

We show that if \(D\subset {\mathbb{R}}^ n\), \(n\geq 3\), is a bounded uniform domain, then the lifetime of the Doob h-paths in D for elliptic diffusions in divergence form is finite. This result holds for any bounded domain D in the plane.