عنوان
پدید آورنده
موضوع
رده
QA274.25
QA274
.
25
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
3319749293
(Number (ISBN
9783319749297
Erroneous ISBN
3319749285
Erroneous ISBN
9783319749280
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Stochastic partial differential equations and related fields :
General Material Designation
[Book]
Other Title Information
in honor of Michael Röckner SPDERF, Bielefeld, Germany, October 10 -14, 2016 /
First Statement of Responsibility
Andreas Eberle, Martin Grothaus, Walter Hoh, Moritz Kassmann, Wilhelm Stannat, Gerald Trutnau, editors.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham, Switzerland :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
2018.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (xx, 574 pages) :
Other Physical Details
illustrations
SERIES
Series Title
Springer proceedings in mathematics & statistics,
Volume Designation
volume 229
ISSN of Series
2194-1009 ;
GENERAL NOTES
Text of Note
Includes author index.
CONTENTS NOTE
Text of Note
Intro; Preface; Acknowledgements; Contents; Organization; List of Participants; Part I Longer Contributions; Stationary Fokker-Planck-Kolmogorov Equations; 1 Introduction; 2 The Case of a Non-differentiable Diffusion Matrix: Existence and Higher Integrability of Densities; 3 The Case of a Sobolev Differentiable Diffusion Matrix; 4 Harnack's Inequality and Lower and Upper Bounds; 5 Existence of Probability Solutions; 6 Uniqueness Problems; 7 The Infinite-Dimensional Case; References; Liouville Property of Harmonic Functions of Finite Energy for Dirichlet Forms; 1 Introduction
Text of Note
2.2 Well-Posedness by Noise for Stochastic Inhomogeneous Scalar Conservation Laws2.3 Regularization by Noise for Stochastic Scalar Conservation Laws; 2.4 Open Interfaces and Porous Media Equations; References; An Introduction to Singular SPDEs; 1 Introduction; 2 Paraproducts; 3 Paracontrolled Analysis; 4 Ambiguities and Renormalisation; 5 Higher Order Expansions; 6 Weak Universality; 7 Anderson Hamiltonian; 8 Singular Martingale Problem; References; Fokker-Planck Equations in Hilbert Spaces; 1 Introduction and Setting of the Problem; 2 Preliminaries on the Ornstein-Uhlenbeck Semigroup
Text of Note
3 Existence3.1 Basic Assumptions; 3.2 Tightness; 3.3 Other Assumptions; 4 Uniqueness; 4.1 The Rank Condition; 4.2 The Semigroup Associated to a Non Autonomous Problem; 4.3 The Case When C-1 is Bounded; 4.4 The Case When Tr C
Text of Note
6 Generalisation to Stochastic PDEsReferences; SPDEs with Volterra Noise; 1 Introduction; 2 SPDEs with Additive Volterra Noise; 3 SPDEs with Multiplicative Gaussian Volterra Noise; References; Hitting Probabilities for Systems of Stochastic PDEs: An Overview; 1 Introduction; 2 Benchmark Results for Gaussian Random Fields; 2.1 First Example: The Brownian Sheet; 2.2 Anisotropic Gaussian Random Fields; 2.3 Funaki's Random String; 3 Hitting Probabilities for Non-Gaussian Random Fields; 3.1 Systems of Nonlinear Wave Equations in Spatial Dimension 1; 3.2 Other Non-linear Systems of SPDEs
0
8
8
8
SUMMARY OR ABSTRACT
Text of Note
This Festschrift contains six research surveys and thirty-three shorter contributions by participants of the conference ''Stochastic Partial Differential Equations and Related Fields'' hosted by the Faculty of Mathematics at Bielefeld University, October 10-14, 2016. The conference, attended by more than 140 participants, including PostDocs and PhD students, was held both to honor Michael Röckner's contributions to the field on the occasion of his 60th birthday and to bring together leading scientists and young researchers to present the current state of the art and promising future developments. Each article introduces a well-described field related to Stochastic Partial Differential Equations and Stochastic Analysis in general. In particular, the longer surveys focus on Dirichlet forms and Potential theory, the analysis of Kolmogorov operators, Fokker-Planck equations in Hilbert spaces, the theory of variational solutions to stochastic partial differential equations, singular stochastic partial differential equations and their applications in mathematical physics, as well as on the theory of regularity structures and paracontrolled distributions. The numerous research surveys make the volume especially useful for graduate students and researchers who wish to start work in the above-mentioned areas, or who want to be informed about the current state of the art.--
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Springer Nature
Stock Number
com.springer.onix.9783319749297
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9783319749280
TOPICAL NAME USED AS SUBJECT
Stochastic partial differential equations, Congresses.
Mathematical Applications in the Physical Sciences.
Differential calculus & equations.
Mathematical modelling.
MATHEMATICS-- Applied.
MATHEMATICS-- Probability & Statistics-- General.
Probability & statistics.
Stochastic partial differential equations.
(SUBJECT CATEGORY (Provisional
MAT-- 003000
MAT-- 029000
PBT
PBWL
DEWEY DECIMAL CLASSIFICATION
Number
519
.
2/2
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA274
.
25
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Eberle, Andreas,1969-
Grothaus, Martin, (Professor)
Hoh, Walter
Kassmann, Moritz
Röckner, Michael,1956-
Stannat, Wilhelm
Trutnau, Gerald
CORPORATE BODY NAME - PRIMARY RESPONSIBILITY
Conference "Stochastic Partial Differential Equations and Related Fields''(2016 :, Bielefeld, Germany)
ORIGINATING SOURCE
Date of Transaction
20200823105410.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
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