Markov processes, Feller semigroups and evolution equations /

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Bibliographic Details
Author / Creator:Casteren, J. A. van.
Imprint:Singapore ; Hackensack, NJ : World Scientific, 2011.
Description:xviii, 805 p. ; 24 cm.
Language:English
Series:Series on concrete and applicable mathematics, 1793-1142 ; v. 12
Series on concrete and applicable mathematics ; v. 12.
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/8359492
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ISBN:9789814322188 (hbk.)
9814322180 (hbk.)
Notes:Includes bibliographical references (p. 759-788) and index.
Description
Summary: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:xviii, 805 p. ; 24 cm.
Bibliography:Includes bibliographical references (p. 759-788) and index.
ISBN:9789814322188
9814322180
ISSN:1793-1142
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