Book Review

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Book Information:

Author: T. E. Govindan

Title: Yosida approximations of stochastic differential equations in infinite dimensions and applications

Additional book information: Probability Theory and Stochastic Modelling Series, Vol. 79, Springer, Cham, 2016, xix + 407 pp., ISBN 978-3-319-45682-9

**[1]**S. Albeverio, L. Gawarecki, V. Mandrekar, B. Rüdiger, and B. Sarkar,*Itô formula for mild solutions of SPDEs with Gaussian and non-Gaussian noise and applications to stability properties*, Random Oper. Stoch. Equ.**25**(2017), no. 2, 79-105. MR**3652290**- [2]
G. Da Prato, A. Jentzen, M. Röckner,
*A mild Itô formula for SPDEs*,`arXiv 1009.3526`, 2011. **[3]**G. Da Prato and J. Zabczyk,*Ergodicity for infinite-dimensional systems*, London Mathematical Society Lecture Note Series, vol. 229, Cambridge University Press, Cambridge, 1996. MR**1417491****[4]**Akira Ichikawa,*Stability of semilinear stochastic evolution equations*, J. Math. Anal. Appl.**90**(1982), no. 1, 12-44. MR**680861****[5]**A. V. Skorokhod,*Asymptotic methods in the theory of stochastic differential equations*, Translations of Mathematical Monographs, vol. 78, American Mathematical Society, Providence, RI, 1989. Translated from the Russian by H. H. McFaden. MR**1020057**

Review Information:

Reviewer: P. Sundar

Affiliation: Department of Mathematics Louisiana State University Baton Rouge, Louisiana 70803

Email: psundar@lsu.edu

Journal: Bull. Amer. Math. Soc.

MSC (2010): Primary 60H15, 93E15; Secondary 93E20

DOI: https://doi.org/10.1090/bull/1603

Published electronically: December 20, 2017

Review copyright: © Copyright 2017 American Mathematical Society