caa a22 4500 60552291X CHVBK 20210128100747.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s10958-015-2362-0 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2362-0 Uniqueness Problems for Degenerate Fokker-Planck-Kolmogorov Equations [Elektronische Daten] [V. Bogachev, M. Röckner, S. Shaposhnikov] We study the uniqueness of solutions to the Cauchy problem for the Fokker-Planck-Kolmogorov equation with a singular diffusion matrix in the class of probability measures. A survey of known result and methods is given. In addition, we obtain new sufficient conditions for the uniqueness in the case of unbounded coefficients and a partially singular diffusion matrix and also in the case where the diffusion matrix is a squared Lipschitzian matrix. Springer Science+Business Media New York, 2015 Bogachev V. Moscow State University, 119991, Moscow, Russia aut Röckner M. Universität Bielefeld, 33501, Bielefeld, Germany aut Shaposhnikov S. Moscow State University, 119991, Moscow, Russia aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/2(2015-05-01), 147-165 1072-3374 207:2<147 2015 207 10958 https://doi.org/10.1007/s10958-015-2362-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2362-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bogachev V. Moscow State University, 119991, Moscow, Russia aut NATIONALLICENCE 700 1- Röckner M. Universität Bielefeld, 33501, Bielefeld, Germany aut NATIONALLICENCE 700 1- Shaposhnikov S. Moscow State University, 119991, Moscow, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/2(2015-05-01), 147-165 1072-3374 207:2<147 2015 207 10958