Markov processes, Feller semigroups and evolution equations:
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Bibliographische Detailangaben
1. Verfasser: Casteren, J. A. van (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Singapore World Scientific 2011
Schriftenreihe:Series on concrete and applicable mathematics v. 12
Schlagworte:
Online-Zugang:FAW01
FAW02
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Beschreibung: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
Beschreibung:1 Online-Ressource (xviii, 805 pages)
ISBN:9789814322188
9789814322195
9814322180
9814322199

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