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Titlebook: Random Obstacle Problems; école d‘été de Proba Lorenzo Zambotti Book 2017 Springer International Publishing AG 2017 Reflection on an obstac

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樓主
發(fā)表于 2025-3-21 16:51:54 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Random Obstacle Problems
副標(biāo)題école d‘été de Proba
編輯Lorenzo Zambotti
視頻videohttp://file.papertrans.cn/822/821065/821065.mp4
概述Provides a self-contained presentation in a clear and pedagogical style.Includes a special chapter on Bessel processes with detailed discussions of results scattered across the literature.Offers an or
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Random Obstacle Problems; école d‘été de Proba Lorenzo Zambotti Book 2017 Springer International Publishing AG 2017 Reflection on an obstac
描述.Studying the fine properties of solutions to Stochastic (Partial) Differential Equations with reflection at a boundary, this book begins with a discussion of classical one-dimensional diffusions as the reflecting Brownian motion, devoting a chapter to Bessel processes, and moves on to function-valued solutions to SPDEs. Inspired by the classical stochastic calculus for diffusions, which is unfortunately still unavailable in infinite dimensions, it uses integration by parts formulae on convex sets of paths in order to describe the behaviour of the solutions at the boundary and the contact set between the solution and the obstacle. The text may serve as an introduction to space-time white noise, SPDEs and monotone gradient systems. Numerous open research problems in both classical and new topics are proposed..
出版日期Book 2017
關(guān)鍵詞Reflection on an obstacle; Stochastic partial differential equations; Brownian motion; Local time; Integ
版次1
doihttps://doi.org/10.1007/978-3-319-52096-4
isbn_softcover978-3-319-52095-7
isbn_ebook978-3-319-52096-4Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing AG 2017
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沙發(fā)
發(fā)表于 2025-3-21 21:38:18 | 只看該作者
板凳
發(fā)表于 2025-3-22 03:58:03 | 只看該作者
0075-8434 ions of results scattered across the literature.Offers an or.Studying the fine properties of solutions to Stochastic (Partial) Differential Equations with reflection at a boundary, this book begins with a discussion of classical one-dimensional diffusions as the reflecting Brownian motion, devoting
地板
發(fā)表于 2025-3-22 07:31:26 | 只看該作者
5#
發(fā)表于 2025-3-22 10:34:15 | 只看該作者
The Reflecting Brownian Motion,alisation method. The interest of the latter lies in its applicability, in Chap.?. below, to stochastic partial differential equations. We discuss the link between reflection and local times and we give a formula, in Lemma?2.9 below, which will be useful later, in particular in the construction of B
6#
發(fā)表于 2025-3-22 14:40:51 | 只看該作者
7#
發(fā)表于 2025-3-22 18:58:49 | 只看該作者
Obstacle Problems,continuous function .?≥??w which solves a heat equation on the open set {.?>??w} and is reflected on ? w. Following Nualart and Pardoux [NP92] we give an existence and uniqueness result for solutions to such obstacle problems.
8#
發(fā)表于 2025-3-22 22:40:14 | 只看該作者
Introduction,-dimensional examples, the reflecting Brownian motion and the Bessel processes. However this serves mainly as a warm-up for the next chapters where we study a class of function-valued processes. Indeed, the main focus of the course is on solutions to stochastic partial differential equations with reflection on an obstacle.
9#
發(fā)表于 2025-3-23 02:00:15 | 只看該作者
10#
發(fā)表于 2025-3-23 07:06:23 | 只看該作者
Bessel Processes,In this chapter we are going to study .-Bessel processes, namely solutions (..). to the SDE
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