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On positive and probability solutions to the stationary Fokker-Planck-Kolmogorov equation

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References

  1. P. Bauman, Ark. Mat. 22, 153–173 (1984).

    Article  MathSciNet  MATH  Google Scholar 

  2. P. Bauman, Proc. Am. Math. Soc. 91, 64–68 (1984).

    MathSciNet  MATH  Google Scholar 

  3. V. I. Bogachev and M. Röckner, Theory Probab. Appl. 45, 363–378 (2000); Teor. Veroyatn. Primen. 46, 600 (2001).

    Article  MATH  Google Scholar 

  4. V. I. Bogachev, N. V. Krylov, and M. Röcckner, Commun. Partial Differ. Equations 26, 2037–2080 (2001).

    Article  MATH  Google Scholar 

  5. V. I. Bogachev, M. Röckner, and F.-Y. Wang, J. Math. Pures Appl. 80, 177–221 (2001).

    MathSciNet  MATH  Google Scholar 

  6. V. I. Bogachev, N. V. Krylov, and M. Röckner, J. Math. Pures Appl. 85, 743–757 (2006).

    MathSciNet  MATH  Google Scholar 

  7. V. I. Bogachev, M. Röckner, and S. V. Shaposhnikov, J. Math. Sci. 176, 759–773 (2011).

    Article  MathSciNet  Google Scholar 

  8. V. I. Bogachev, N. V. Krylov, and M. Röckner, Russ. Math. Surv. 64, 973–1078 (2009).

    Article  MATH  Google Scholar 

  9. L. Escauriaza, Commun. Partial Differ. Equations 25, 821–845 (2000).

    Article  MathSciNet  MATH  Google Scholar 

  10. A. I. Noarov, Theory Probab. Appl. 54, 525–533 (2010).

    Article  MathSciNet  MATH  Google Scholar 

  11. A. I. Noarov, Algebra Anal. 24(3) (2012) [in print].

  12. R. Z. Hasminskii, Stochastic Stability of Differential Equations (Nauka, Moscow, 1969; Sijthoff and Noordhoff, 1980).

    Google Scholar 

  13. N. S. Trudinger, Ann. Scuola Norm. Super. Pisa (3) 27, 265–308 (1973).

    MathSciNet  MATH  Google Scholar 

  14. N. S. Trudinger, Math. Z. 156, 291–301 (1977).

    Article  MathSciNet  MATH  Google Scholar 

  15. V. I. Bogachev, M. Röckner, and V. Stannat, Sb. Math. 193, 945–976 (2002).

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to V. I. Bogachev.

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Original Russian Text © V.I. Bogachev, M. Röckner, S.V. Shaposhnikov, 2012, published in Doklady Akademii Nauk, 2012, Vol. 444, No. 3, pp. 245–249.

The article was translated by the authors.

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Bogachev, V.I., Röckner, M. & Shaposhnikov, S.V. On positive and probability solutions to the stationary Fokker-Planck-Kolmogorov equation. Dokl. Math. 85, 350–354 (2012). https://doi.org/10.1134/S1064562412030143

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  • DOI: https://doi.org/10.1134/S1064562412030143

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