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Titlebook: Stochastic Partial Differential Equations; An Introduction étienne Pardoux Book 2021 The Editor(s) (if applicable) and The Author(s), under

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樓主
發(fā)表于 2025-3-21 17:18:04 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Stochastic Partial Differential Equations
副標題An Introduction
編輯étienne Pardoux
視頻videohttp://file.papertrans.cn/879/878076/878076.mp4
概述Provides a useful starting point for beginners to the subject.Motivated by a long list of applications from many distinct fields.Includes several distinct approaches to stochastic partial differential
叢書名稱SpringerBriefs in Mathematics
圖書封面Titlebook: Stochastic Partial Differential Equations; An Introduction étienne Pardoux Book 2021 The Editor(s) (if applicable) and The Author(s), under
描述.This book gives a concise introduction to the classical theory of stochastic partial differential equations (SPDEs). It begins by describing the classes of equations which are studied later in the book, together with a list of motivating examples of SPDEs which are used in physics, population dynamics, neurophysiology, finance and signal processing. The central part of the book studies SPDEs as infinite-dimensional SDEs, based on the variational approach to PDEs. This extends both the classical It? formulation and the martingale problem approach due to Stroock and Varadhan. The final chapter considers the solution of a space-time white noise-driven SPDE as a real-valued function of time and (one-dimensional) space. The results of J. Walsh‘s St Flour notes on the existence, uniqueness and H?lder regularity of the solution are presented. In addition, conditions are given under which the solution remains nonnegative, and the Malliavin calculus is applied. Lastly, reflected SPDEs and their connection with super Brownian motion are considered...At a time when new sophisticated branches of the subject are being developed, this book will be a welcome reference on classical SPDEs for newc
出版日期Book 2021
關鍵詞stochastic partial differential equations; stochastic calculus in Hilbert space; martingale problem fo
版次1
doihttps://doi.org/10.1007/978-3-030-89003-2
isbn_softcover978-3-030-89002-5
isbn_ebook978-3-030-89003-2Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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沙發(fā)
發(fā)表于 2025-3-21 21:49:08 | 只看該作者
étienne Pardouxrld and must therefore be addressed by every system that attempts to represent reality. The representation of un- certainty is a major concern of philosophers, logicians, artificial intelligence researchers and computer sciencists, psychologists, statisticians, economists and engineers. The present
板凳
發(fā)表于 2025-3-22 03:33:37 | 只看該作者
978-3-030-89002-5The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
地板
發(fā)表于 2025-3-22 08:38:00 | 只看該作者
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發(fā)表于 2025-3-22 09:13:10 | 只看該作者
SpringerBriefs in Mathematicshttp://image.papertrans.cn/s/image/878076.jpg
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發(fā)表于 2025-3-22 13:54:06 | 只看該作者
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發(fā)表于 2025-3-22 19:54:09 | 只看該作者
Introduction and Motivation,In these lectures we shall study stochastic parabolic PDEs, most of which will be nonlinear. The general type of equations which we have in mind are of the form
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發(fā)表于 2025-3-22 22:18:39 | 只看該作者
SPDEs as Infinite-Dimensional SDEs,The aim of this chapter is to describe by now classical results concerning mostly linear and semilinear SPDEs, considered as SDEs in a Hilbert or Banach space. We start with a short introduction to the It? calculus in Hilbert space.
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發(fā)表于 2025-3-23 05:25:50 | 只看該作者
SPDEs Driven By Space-Time White Noise,The results of the previous chapter mainly apply to equations driven by finite-dimensional Brownian motion or space-time noise which is white in time and colored in space.
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發(fā)表于 2025-3-23 06:26:25 | 只看該作者
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