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.
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Research supported by a Bantrell Fellowship
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Bañuelos, R. On an estimate of Cranston and McConnell for elliptic diffusions in uniform domains. Probab. Th. Rel. Fields 76, 311–323 (1987). https://doi.org/10.1007/BF01297488
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DOI: https://doi.org/10.1007/BF01297488