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عنوان
Quantitative stochastic homogenization and large-scale regularity /

پدید آورنده
Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat.

موضوع
Homogenization (Differential equations),Homogenization (Differential equations),MATHEMATICS-- Calculus.,MATHEMATICS-- Mathematical Analysis.

رده
QA377
.
A825
2019

کتابخانه
Center and Library of Islamic Studies in European Languages

محل استقرار
استان: Qom ـ شهر: Qom

Center and Library of Islamic Studies in European Languages

تماس با کتابخانه : 32910706-025

INTERNATIONAL STANDARD BOOK NUMBER

(Number (ISBN
3030155447
(Number (ISBN
3030155455
(Number (ISBN
3030155463
(Number (ISBN
3030155471
(Number (ISBN
9783030155445
(Number (ISBN
9783030155452
(Number (ISBN
9783030155469
(Number (ISBN
9783030155476
Erroneous ISBN
9783030155445

TITLE AND STATEMENT OF RESPONSIBILITY

Title Proper
Quantitative stochastic homogenization and large-scale regularity /
General Material Designation
[Book]
First Statement of Responsibility
Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat.

.PUBLICATION, DISTRIBUTION, ETC

Place of Publication, Distribution, etc.
Cham, Switzerland :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
2019.

PHYSICAL DESCRIPTION

Specific Material Designation and Extent of Item
1 online resource

SERIES

Series Title
Grundlehren der mathematischen Wissenschaften ;
Volume Designation
volume 352

CONTENTS NOTE

Text of Note
Preface -- Assumptions and examples -- Frequently asked questions -- Notation -- Introduction and qualitative theory -- Convergence of the subadditive quantities -- Regularity on large scales -- Quantitative description of first-order correctors -- Scaling limits of first-order correctors -- Quantitative two-scale expansions -- Calderon-Zygmund gradient L^p estimates -- Estimates for parabolic problems -- Decay of the parabolic semigroup -- Linear equations with nonsymmetric coefficients -- Nonlinear equations -- Appendices: A. The O_s notation -- B. Function spaces and elliptic equations on Lipschitz domains -- C. The Meyers L^{2+\delta} estimate -- D. Sobolev norms and heat flow -- Parabolic Green functions -- Bibliography -- Index.
0

SUMMARY OR ABSTRACT

Text of Note
The focus of this book is the large-scale statistical behavior of solutions of divergence-form elliptic equations with random coefficients, which is closely related to the long-time asymptotics of reversible diffusions in random media and other basic models of statistical physics. Of particular interest is the quantification of the rate at which solutions converge to those of the limiting, homogenized equation in the regime of large scale separation, and the description of their fluctuations around this limit. This self-contained presentation gives a complete account of the essential ideas and fundamental results of this new theory of quantitative stochastic homogenization, including the latest research on the topic, and is supplemented with many new results. The book serves as an introduction to the subject for advanced graduate students and researchers working in partial differential equations, statistical physics, probability and related fields, as well as a comprehensive reference for experts in homogenization. Being the first text concerned primarily with stochastic (as opposed to periodic) homogenization and which focuses on quantitative results, its perspective and approach are entirely different from other books in the literature.

ACQUISITION INFORMATION NOTE

Source for Acquisition/Subscription Address
Springer Nature
Stock Number
com.springer.onix.9783030155452

OTHER EDITION IN ANOTHER MEDIUM

International Standard Book Number
9783030155445
International Standard Book Number
9783030155469
International Standard Book Number
9783030155476

TOPICAL NAME USED AS SUBJECT

Homogenization (Differential equations)
Homogenization (Differential equations)
MATHEMATICS-- Calculus.
MATHEMATICS-- Mathematical Analysis.

(SUBJECT CATEGORY (Provisional

MAT-- 005000
MAT-- 034000
PBKJ
PBKJ

DEWEY DECIMAL CLASSIFICATION

Number
515
.
353
Edition
23

LIBRARY OF CONGRESS CLASSIFICATION

Class number
QA377
Book number
.
A825
2019

PERSONAL NAME - PRIMARY RESPONSIBILITY

Armstrong, Scott

PERSONAL NAME - ALTERNATIVE RESPONSIBILITY

Kuusi, Tuomo
Mourrat, Jean-Christophe

ORIGINATING SOURCE

Date of Transaction
20200823084546.0
Cataloguing Rules (Descriptive Conventions))
pn

ELECTRONIC LOCATION AND ACCESS

Electronic name
 مطالعه متن کتاب 

[Book]

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