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Integrable solutions of the stationary Kolmogorov equation

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References

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

    Article  MATH  Google Scholar 

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

    Article  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  4. V. I. Bogachev, M. Röckner, and W. Stannat, “Infinite Dimensional Stochastic Analysis,” Proceedings of the Colloquium, Amsterdam, February 11–12, 1999 (Royal Netherlands Acad. Arts and Sci., Amsterdam, 2000), pp. 39–54.

    Google Scholar 

  5. S. V. Shaposhnikov, Dokl. Math. 77, 401–403 (2008).

    Article  MathSciNet  MATH  Google Scholar 

  6. S. V. Shaposhnikov, J. Funct. Anal. 254, 2690–2705 (2008).

    Article  MathSciNet  MATH  Google Scholar 

  7. V. I. Bogachev, A. I. Kirillov, and S. V. Shaposhnikov, Dokl. Math. 83, 309–314 (2011).

    Article  MathSciNet  MATH  Google Scholar 

  8. L. M. Wu and Y. Zhang, J. Funct. Anal. 241, 557–610 (2006).

    Article  MathSciNet  MATH  Google Scholar 

  9. N. V. Krylov, Lectures on Elliptic and Parabolic Equations in Sobolev Spaces (Am. Math. Soc., Providence, R.I., 2008).

    MATH  Google Scholar 

  10. A. Eberle, Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators (Springer-Verlag, Berlin, 1999).

    MATH  Google Scholar 

  11. V. I. Bogachev, Measure Theory (Springer-Verlag, Berlin, 2007).

    Book  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  13. V. I. Bogachev, F.-Y. Wang, and M. Röckner, Dokl. Math. 63, 18–21 (2001).

    Google Scholar 

  14. A. A. Grigoryan, Math. USSR-Izv. 33, 425–432 (1988).

    Article  MathSciNet  Google Scholar 

  15. P. Li and R. Schoen, Acta Mater. 153, 279–301 (1984).

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to V. I. Bogachev.

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Published in Russian in Doklady Akademii Nauk, 2012, Vol. 444, No. 1, pp. 11–16.

The article was translated by the authors.

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Bogachev, V.I., Kirillov, A.I. & Shaposhnikov, S.V. Integrable solutions of the stationary Kolmogorov equation. Dokl. Math. 85, 309–314 (2012). https://doi.org/10.1134/S1064562412030027

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