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.
- ISBN13 9781470425586
- Publish Date 1 October 2015
- Publish Status Active
- Out of Print 2 June 2022
- Publish Country US
- Imprint American Mathematical Society
- Format Hardcover
- Pages 489
- Language English