Probability Theory and Related Fields

, Volume 76, Issue 3, pp 311–323 | Cite as

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

  • Rodrigro Bañuelos


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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© Springer-Verlag 1987

Authors and Affiliations

  • Rodrigro Bañuelos
    • 1
  1. 1.Department of Mathematics 253-37California Institute of TechnologyPasadenaUSA

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