书目名称 | Periodic Homogenization of Elliptic Systems |
编辑 | Zhongwei Shen |
视频video | |
概述 | Provides a clear and concise exposition of an important and active area.Contains a review of the classical theory of qualitative homogenization, and addresses the problem of convergence rates of solut |
丛书名称 | Operator Theory: Advances and Applications |
图书封面 |  |
描述 | .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.. |
出版日期 | Book 2018 |
关键词 | homogenization; elliptic systems,; convergence rates; periodic coefficients; boundary value problems; reg |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-91214-1 |
isbn_softcover | 978-3-030-08199-7 |
isbn_ebook | 978-3-319-91214-1Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
issn_series | 0255-0156 |
copyright | Springer Nature Switzerland AG 2018 |