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商品詳細
Periodic Homogenization of Elliptic Systems. Softcover reprint of the original 1st ed. 2018.
・ISBN 978-3-030-08199-7 paper EUR 89.99
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| 著者・編者 | Shen, Zhongwei, |
|---|---|
| シリーズ | Advances in Partial Differential Equations |
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2019 |
| ページ数 | 291 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-1197＞ |
解説
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.