Fokker-Planck-Kolmogorov Equations

Vladimir I Bogachev author Michael Rockner author Nicolai V Krylov author Stanislav V Shaposhnikov author

Format:Paperback

Publisher:American Mathematical Society

Published:30th Dec '15

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Fokker-Planck-Kolmogorov Equations cover

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.

“This is a well-written book. The authors are world experts in this area. The book contains many of their own results...This book is a highly valuable contribution to the literature on Fokker-Planck-Kolmogorov equations. It will certainly become a classic reference for researchers working in the field of partial differential equations and diffusion processes.” —Zhen-Qing Chen, Mathematical Reviews

ISBN: 9781470470098

Dimensions: unknown

Weight: unknown

482 pages