Markov processes, Feller semigroups and evolution equations:
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Bibliographic Details
Main Author: Casteren, J. A. van (Author)
Format: Electronic eBook
Language:English
Published: Singapore World Scientific 2011
Series:Series on concrete and applicable mathematics v. 12
Subjects:
Online Access:FAW01
FAW02
Volltext
Item Description:Includes bibliographical references (pages 759-788) and index
Strong Markov processes on Polish spaces -- Strong Markov processes : proof of main results -- Space-time operators and miscellaneous topics -- Feynman-Kac formulas, backward stochastic differential equations, and Markov processes -- Viscosity solutions, backward stochastic differential equations, and Markov processes -- The Hamilton-Jacobi-Bellman equation and the stochastic Noether theorem -- On non-stationary Markov processes and Dunford projections -- Coupling methods and Sobolev type inequalities -- Invariant measure
The book provides a systemic treatment of time-dependent strong Markov processes with values in a Polish space. It describes its generators and the link with stochastic differential equations in infinite dimensions. In a unifying way, where the square gradient operator is employed, new results for backward stochastic differential equations and long-time behavior are discussed in depth. The book also establishes a link between propagators or evolution families with the Feller property and time-inhomogeneous Markov processes. This mathematical material finds its applications in several branches of the scientific world, among which are mathematical physics, hedging models in financial mathematics, and population models
Physical Description:1 Online-Ressource (xviii, 805 pages)
ISBN:9789814322188
9789814322195
9814322180
9814322199

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