---

＜電子ブック＞
Singular Random Dynamics : Cetraro, Italy 2016 / by Massimiliano Gubinelli, Panagiotis E. Souganidis, Nikolay Tzvetkov ; edited by Franco Flandoli, Massimiliano Gubinelli, Martin Hairer
(C.I.M.E. Foundation Subseries. ISSN:29461820 ; 2253)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
本文言語	英語
大きさ	IX, 316 p. 2 illus : online resource
著者標目	*Gubinelli, Massimiliano author Souganidis, Panagiotis E author Tzvetkov, Nikolay author Flandoli, Franco editor Gubinelli, Massimiliano editor Hairer, Martin editor SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Differential equations LCSH:Dynamical systems FREE:Probability Theory FREE:Differential Equations FREE:Dynamical Systems
一般注記	Written by leading experts in an emerging field, this book offers a unique view of the theory of stochastic partial differential equations, with lectures on the stationary KPZ equation, fully nonlinear SPDEs, and random data wave equations. This subject has recently attracted a great deal of attention, partly as a consequence of Martin Hairer's contributions and in particular his creation of a theory of regularity structures for SPDEs, for which he was awarded the Fields Medal in 2014. The text comprises three lectures covering: the theory of stochastic Hamilton–Jacobi equations, one of the most intriguing and rich new chapters of this subject; singular SPDEs, which are at the cutting edge of innovation in the field following the breakthroughs of regularity structures and related theories, with the KPZ equation as a central example; and the study of dispersive equations with random initial conditions, which gives new insights into classical problems and at the same timeprovides a surprising parallel to the theory of singular SPDEs, viewed from many different perspectives. These notes are aimed at graduate students and researchers who want to familiarize themselves with this new field, which lies at the interface between analysis and probability HTTP:URL=https://doi.org/10.1007/978-3-030-29545-5

 類似資料