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The nonuniqueness of solutions to elliptic equations for probability measures

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Publication:954203
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DOI10.1134/S1064562408030228zbMath1172.35084MaRDI QIDQ954203

Stanislav V. Shaposhnikov

Publication date: 10 November 2008

Published in: Doklady Mathematics (Search for Journal in Brave)


zbMATH Keywords

invariant measureslinear PDEnonuniqueness of solutions


Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs with low regular coefficients and/or low regular data (35R05) PDEs with randomness, stochastic partial differential equations (35R60) Stochastic analysis (60H99)


Related Items

On uniqueness problems related to the Fokker-Planck-Kolmogorov equation for measures ⋮ Integrable solutions of the stationary Kolmogorov equation ⋮ On uniqueness problems related to elliptic equations for measures



Cites Work

  • Unnamed Item
  • Remarks on the uniqueness of a solution of the Dirichlet problem for second-order elliptic equations with lower-order terms
  • ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS
  • Nonuniqueness for Second-Order Elliptic Equations with Measurable Coefficients


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