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Distribution Dependent Stochastic Differential Equations by Feng-yu Wang (Tianjin Univ, China & Swansea Univ, Uk) at Abbey's Bookshop,
Distribution Dependent Stochastic Differential Equations
— —
Feng-yu Wang (Tianjin Univ, China & Swansea Univ, Uk) Panpan Ren (Bonn University, Germany)

Distribution Dependent Stochastic Differential Equations

Feng-yu Wang (Tianjin Univ, China & Swansea Univ, Uk),  Panpan Ren (Bonn University, Germany)

$375.95   $300.45

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English
World Scientific Publishing Co Pte Ltd
01 November 2024
Differential calculus & equations
Series: World Scientific Series on Probability Theory and Its Applications
Corresponding to the link of Itô's stochastic differential equations (SDEs) and linear parabolic equations, distribution dependent SDEs (DDSDEs) characterize nonlinear Fokker-Planck equations. This type of SDEs is named after McKean-Vlasov due to the pioneering work of H P McKean (1966), where an expectation dependent SDE is proposed to characterize nonlinear PDEs for Maxwellian gas. Moreover, by using the propagation of chaos for Kac particle systems, weak solutions of DDSDEs are constructed as weak limits of mean field particle systems when the number of particles goes to infinity, so that DDSDEs are also called mean-field SDEs. To restrict a DDSDE in a domain, we consider the reflection boundary by following the line of A V Skorohod (1961).

This book provides a self-contained account on singular SDEs and DDSDEs with or without reflection. It covers well-posedness and regularities for singular stochastic differential equations; well-posedness for singular reflected SDEs; well-posedness of singular DDSDEs; Harnack inequalities and derivative formulas for singular DDSDEs; long time behaviors for DDSDEs; DDSDEs with reflecting boundary; and killed DDSDEs.
By:   , ,
Imprint:   World Scientific Publishing Co Pte Ltd
Country of Publication:   Singapore
Volume:   5
ISBN:   9789811280146
ISBN 10:   9811280142
Series:   World Scientific Series on Probability Theory and Its Applications
Pages:   376
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Primary ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active

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