Periodic homogenization of elliptic systems /
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Author / Creator: | Shen, Zhongwei, 1963- author. |
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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 |
ISBN: | 9783319912141 3319912143 9783319912134 3319912135 |
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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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