Integrability and continuity of densities of stationary distributions of diffusions


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Abstract

New results concerning improved local integrability and continuity of the densities of solutions to stationary Kolmogorov equations with diffusion matrices of low regularity and with locally unbounded drift coefficients are obtained.

About the authors

V. I. Bogachev

Faculty of Mechanics and Mathematics; St. Tikhon’s Orthodox University

Author for correspondence.
Email: vibogach@mail.ru
Russian Federation, Moscow, 119991; Moscow

S. V. Shaposhnikov

Faculty of Mechanics and Mathematics; St. Tikhon’s Orthodox University

Email: vibogach@mail.ru
Russian Federation, Moscow, 119991; Moscow

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