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On an estimate of Cranston and McConnell for elliptic diffusions in uniform domains
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  • Published: September 1987

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

  • Rodrigro Bañuelos1 

Probability Theory and Related Fields volume 76, pages 311–323 (1987)Cite this article

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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.

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Author information

Authors and Affiliations

  1. Department of Mathematics 253-37, California Institute of Technology, 91125, Pasadena, CA, USA

    Rodrigro Bañuelos

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  1. Rodrigro Bañuelos
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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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  • Received: 05 May 1986

  • Issue Date: September 1987

  • DOI: https://doi.org/10.1007/BF01297488

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Keywords

  • Stochastic Process
  • Probability Theory
  • Mathematical Biology
  • Divergence Form
  • Bounded Uniform
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