Periodic homogenization of elliptic systems /

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Bibliographic Details
Author / Creator:Shen, Zhongwei, 1963- author.
Imprint:Cham, Switzerland : Birkhäuser, 2018.
Description:1 online resource
Language:English
Series:Operator theory: advances in applications, 2504-3587 ; volume 269
Operator theory, advances and applications ; v. 269.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11705971
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ISBN:9783319912141
3319912143
9783319912134
3319912135
Notes:Includes bibliographical references and index.
Online resource; title from PDF title page (SpringerLink, viewed September 17, 2018).
Summary:This monograph surveys the theory of quantitative homogenization for second-order linear elliptic systems in divergence form with rapidly oscillating periodic coefficients in a bounded domain. It begins with a review of the classical qualitative homogenization theory, and addresses the problem of convergence rates of solutions. The main body of the monograph investigates various interior and boundary regularity estimates that are uniform in the small parameter e>0. Additional topics include convergence rates for Dirichlet eigenvalues and asymptotic expansions of fundamental solutions, Green functions, and Neumann functions. The monograph is intended for advanced graduate students and researchers in the general areas of analysis and partial differential equations. It provides the reader with a clear and concise exposition of an important and currently active area of quantitative homogenization.--
Other form:Print version: Shen, Zhongwei, 1963- Periodic homogenization of elliptic systems. Cham, Switzerland : Birkhäuser, 2018 3319912135 9783319912134

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