Stochastic Partial Differential Equations, Space-Time White Noise and Random Fields (Запис № 579817)

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001 - CONTROL NUMBER
control field 978-3-032-01650-8
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20260304124215.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783032016508
-- 978-3-032-01650-8
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-032-01650-8
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA299.6-433
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBK
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT034000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBK
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Dalang, Robert C.
Relator term author.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
9 (RLIN) 23623
245 10 - TITLE STATEMENT
Title Stochastic Partial Differential Equations, Space-Time White Noise and Random Fields
Medium [electronic resource] /
Statement of responsibility, etc by Robert C. Dalang, Marta Sanz-Solé.
250 ## - EDITION STATEMENT
Edition statement 1st ed. 2026.
264 #1 -
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-- Springer Nature Switzerland :
-- Imprint: Springer,
-- 2026.
300 ## - PHYSICAL DESCRIPTION
Extent XIX, 634 p. 1 illus.
Other physical details online resource.
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490 1# - SERIES STATEMENT
Series statement Springer Monographs in Mathematics,
Міжнародний стандартний серійний номер для назви серії (ISSN) 2196-9922
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1. Basics on Noise and SPDEs -- 2. Stochastic Integrals with Respect to Space-Time White Noise -- 3. Linear SPDEs Driven by Space-Time White Noise -- 4. Non-Linear SPDEs Driven by Space-Time White Noise -- 5. Asymptotic Behaviors in the Stochastic Heat Equation -- 6. Selected Results on SPDEs Driven by Space-Time White Noise.
506 0# - RESTRICTIONS ON ACCESS NOTE
Terms governing access Open Access
520 ## - SUMMARY, ETC.
Summary, etc This open access book provides a comprehensive introduction to the theory of stochastic partial differential equations (SPDEs). The focus is on SPDEs driven by Gaussian space-time white noise. The book covers both linear and nonlinear SPDEs, with Lipschitz and locally Lipschitz coefficients and multiplicative noise. It provides a modern presentation of the theory of stochastic integration with respect to space-time white noise and unifies many results in the literature. The book discusses fundamental topics such as existence and uniqueness of random field solutions, along with their space-time sample path regularity properties. The book also presents a selection of additional topics such as weak solutions in law to SPDEs, space-time Markov properties, asymptotic bounds on moments, comparison theorems, a study of polarity of points for SPDEs with additive noise, and a study of SPDEs with rough initial conditions that includes the parabolic and hyperbolic Anderson models and their intermittency properties. In the context of the stochastic heat equation, the book discusses additional important topics including invariant and limit measures, reversible measures and their relationship to bridge measures, irreducibility properties, and large interval asymptotics. The appendices gather results from analysis and stochastic processes that are used throughout the core of the book, including key elements from the general theory of stochastic processes, a detailed presentation of Kolmogorov’s anisotropic continuity criterion, numerous integrability properties of the fundamental solutions and Green's functions associated to the heat and wave partial differential operators, explicit calculations of some space-time convolution series and some useful Gronwall-type lemmas. The book aims to be a reference for established researchers in the field of SPDEs, as well as for those who are interested in entering the field and becoming familiar with its techniques. In particular, graduate and postgraduate students with a background in stochastic analysis will find here a comprehensive and self-contained source of information which provides essential expertise in the subject.
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650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical analysis.
9 (RLIN) 11388
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Stochastic analysis.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Analysis.
9 (RLIN) 11393
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Stochastic Analysis.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Sanz-Solé, Marta.
Relator term author.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
9 (RLIN) 23624
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer Nature eBook
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783032016492
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783032016515
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783032016522
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Springer Monographs in Mathematics,
-- 2196-9922
9 (RLIN) 23625
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1007/978-3-032-01650-8">https://doi.org/10.1007/978-3-032-01650-8</a>
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