Stochastic solutions to partial differential equations

  • S. A. Kosciuk
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 983)


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For further reading on the martingale problem and differential equations a good source is

  1. D.W. Stroock, S.R.S. Varadan, "Multidimensional Diffusion Processes" (Springer-Verlag, New York, 1979).Google Scholar

For Krylov's theorem consult

  1. N.V. Krylov, "Controlled Diffusion Processes" (Springer-Verlag, New York, 1980).CrossRefzbMATHGoogle Scholar
  2. N.V. Krylov, Sequences of convex functions and estimates of the maximum of the solution of a parabolic equation, Siberian Math J. 17(2) (1976); 226–236 (English translation).MathSciNetCrossRefzbMATHGoogle Scholar

For non-standard probability consult

  1. H.J. Keisler, An infinitesimal approach to stochastic analysis, 1980 (yet to be published).Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • S. A. Kosciuk
    • 1
  1. 1.University of WisconsinMadison

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