|
![]() |
|||
|
||||
OverviewFull Product DetailsAuthor: Giorgio Fabbri , Fausto Gozzi , Andrzej Swiech , Marco FuhrmanPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: 2017 ed. Volume: 82 Weight: 1.723kg ISBN: 9783319530666ISBN 10: 3319530666 Pages: 916 Publication Date: 07 July 2017 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of ContentsPreface.- 1.Preliminaries on stochastic calculus in infinite dimensions.- 2.Optimal control problems and examples.- 3.Viscosity solutions.- 4.Mild solutions in spaces of continuous functions.- 5.Mild solutions in L2 spaces.- 6.HJB Equations through Backward Stochastic Differential Equations (by M. Fuhrman and G. Tessitore).- Appendix A, B, C, D, E.- Bibliography.Reviews“This book addresses a comprehensive study of the theory of stochastic optimal control when the underlying dynamic evolves as a stochastic differential equation in infinite dimension. It contains the most general models appearing in the literature and at the same time provides interesting applications. The book is well written and is mainly addressed to graduate students of engineering and of pure and applied mathematics.” (Hector Jasso, zbMATH 1379.93001, 2018) This book addresses a comprehensive study of the theory of stochastic optimal control when the underlying dynamic evolves as a stochastic differential equation in infinite dimension. It contains the most general models appearing in the literature and at the same time provides interesting applications. The book is well written and is mainly addressed to graduate students of engineering and of pure and applied mathematics. (Hector Jasso, zbMATH 1379.93001, 2018) Author InformationGiorgio Fabbri is a CNRS Researcher at the Aix-Marseille School of Economics, Marseille, France. He works on optimal control of deterministic and stochastic systems, notably in infinite dimensions, with applications to economics. He has also published various papers in several economic areas, in particular in growth theory and development economics. Fausto Gozzi is a Full Professor of Mathematics for Economics and Finance at Luiss University, Roma, Italy. His main research field is the optimal control of finite and infinite-dimensional systems and its economic and financial applications. He is the author of many papers in various subjects areas, from Mathematics, to Economics and Finance. Andrzej Swiech is a Full Professor at the School of Mathematics, Georgia Institute of Technology, Atlanta, USA. He received Ph.D. from UCSB in 1993. His main research interests are in nonlinear PDEs and integro-PDEs, PDEs in infinite dimensional spaces, viscosity solutions, stochastic and deterministic optimal control, stochastic PDEs, differential games, mean-field games, and the calculus of variations. *Marco Fuhrman* is a Full Professor of Probability and Mathematical Statistics at the University of Milano, Italy. His main research topics are stochastic differential equations in infinite dimensions and backward stochastic differential equations for optimal control of stochastic processes. *Gianmario Tessitore* is a Full Professor of Probability and Mathematical Statistics at Milano-Bicocca University. He is the author of several scientific papers on control of stochastic differential equations in finite and infinite dimensions. He is, in particular, interested in the applications of backward stochastic differential equations in stochastic control. Tab Content 6Author Website:Countries AvailableAll regions |