Uniqueness of a probability solution to the Kolmogorov equation with a diffusion matrix satisfying Dini's condition

DOI10.1134/S1064562421060041zbMath1486.35164OpenAlexW4285338220MaRDI QIDQ2121833

Vladimir I. Bogachev, Stanislav V. Shaposhnikov

Publication date: 5 April 2022

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

Full work available at URL: https://doi.org/10.1134/s1064562421060041

zbMATH Keywords

uniquenessKolmogorov equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic equations (35J15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Zvonkin’s transform and the regularity of solutions to double divergence form elliptic equations ⋮ Kolmogorov Problems on Equations for Stationary and Transition Probabilities of Diffusion Processes

Cites Work

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• Degenerate elliptic equations and nonuniqueness of solutions to the Kolmogorov equation
• Integrability and continuity of solutions to double divergence form equations
• On C¹, C², and weak type-(1,1) estimates for linear elliptic operators
• Fokker–Planck–Kolmogorov Equations
• W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients
• Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions

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