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Книга

Fokker-Planck-Kolmogorov equations

Providence: American Mathematical Society, 2015.
Bogachev V., Krylov N. V., Roeckner M., Shaposhnikov S.

This book gives an exposition of the principal concepts and results related to second order elliptic and parabolic equations for measures, the main examples of which are  Fokker-Planck-Kolmogorov equations for stationary and transition probabilities of diffusion  processes. Existence and uniqueness of solutions are studied along with existence  and Sobolev regularity of their densities and upper and lower bounds for the latter. The target readership includes mathematicians and physicists whose research is related to diffusion processes as well as elliptic and parabolic equations.

Fokker-Planck-Kolmogorov equations