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Markov processes, Feller semigroups and evolution equations /

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 b...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Casteren, J. A. van
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; Hackensack, NJ : World Scientific, 2011.
Colección:Series on concrete and applicable mathematics ; v. 12.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Markov processes, Feller semigroups and evolution equations /  |c Jan A. van Casteren. 
260 |a Singapore ;  |a Hackensack, NJ :  |b World Scientific,  |c 2011. 
300 |a 1 online resource (xviii, 805 pages) 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Series on concrete and applicable mathematics,  |x 1793-1142 ;  |v v. 12 
504 |a Includes bibliographical references (pages 759-788) and index. 
505 0 |a 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. 
520 |a 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. 
588 0 |a Print version record. 
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650 0 |a Markov processes. 
650 0 |a Evolution equations. 
650 2 |a Markov Chains 
650 6 |a Processus de Markov. 
650 6 |a Équations d'évolution. 
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650 7 |a Evolution equations  |2 fast 
650 7 |a Markov processes  |2 fast 
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830 0 |a Series on concrete and applicable mathematics ;  |v v. 12. 
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