, Volume 76, Issue 3, pp 311-323

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

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Summary

We show that ifD⊂∝ n ,n≧3,n≽3, is a bounded uniform domain, then the lifetime of the Doobh-paths inD for elliptic diffusions in divergence form is finite. This result holds for any bounded domainD in the plane.

Research supported by a Bantrell Fellowship