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Probabilistic approach to the strong Feller property
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  • Published: October 2000

Probabilistic approach to the strong Feller property

  • Bohdan Maslowski1 &
  • Jan Seidler1 

Probability Theory and Related Fields volume 118, pages 187–210 (2000)Cite this article

  • 423 Accesses

  • 17 Citations

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Abstract.

A new probabilistic method, based on the Girsanov theorem, for establishing the strong Feller property of diffusion processes in both finite and infinite dimensional spaces is proposed. Applications to second order stochastic differential equations, stochastic delay equations and stochastic partial differential equations of parabolic type are discussed, with a twofold aim: both to extend some older results, usually by weakening the assumptions on the drift term, and to obtain simpler proofs of them.

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Authors and Affiliations

  1. Mathematical Institute, Academy of Sciences, Žitná 25, 11567 Praha 1, Czech Republic. e-mail: {maslow; seidler}@math.cas.cz, , , , , , CZ

    Bohdan Maslowski & Jan Seidler

Authors
  1. Bohdan Maslowski
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  2. Jan Seidler
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Received: 13 December 1999 / Published online: 5 September 2000

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Cite this article

Maslowski, B., Seidler, J. Probabilistic approach to the strong Feller property. Probab Theory Relat Fields 118, 187–210 (2000). https://doi.org/10.1007/s440-000-8014-0

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  • Issue Date: October 2000

  • DOI: https://doi.org/10.1007/s440-000-8014-0

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Keywords

  • Differential Equation
  • Partial Differential Equation
  • Diffusion Process
  • Dimensional Space
  • Stochastic Differential Equation
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