Uniqueness Problems for Degenerate Fokker-Planck-Kolmogorov Equations

Verfasser / Beitragende:
[V. Bogachev, M. Röckner, S. Shaposhnikov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 207/2(2015-05-01), 147-165
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10958-015-2362-0  |2 doi 
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245 0 0 |a Uniqueness Problems for Degenerate Fokker-Planck-Kolmogorov Equations  |h [Elektronische Daten]  |c [V. Bogachev, M. Röckner, S. Shaposhnikov] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Bogachev  |D V.  |u Moscow State University, 119991, Moscow, Russia  |4 aut 
700 1 |a Röckner  |D M.  |u Universität Bielefeld, 33501, Bielefeld, Germany  |4 aut 
700 1 |a Shaposhnikov  |D S.  |u Moscow State University, 119991, Moscow, Russia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/2(2015-05-01), 147-165  |x 1072-3374  |q 207:2<147  |1 2015  |2 207  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2362-0  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2362-0  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Bogachev  |D V.  |u Moscow State University, 119991, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Röckner  |D M.  |u Universität Bielefeld, 33501, Bielefeld, Germany  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Shaposhnikov  |D S.  |u Moscow State University, 119991, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/2(2015-05-01), 147-165  |x 1072-3374  |q 207:2<147  |1 2015  |2 207  |o 10958