
Periodic Homogenization of Elliptic Systems
Zhongwei Shen(Author)
Birkhäuser (Publisher)
Published on 14. September 2018
Book
Hardback
IX, 291 pages
978-3-319-91213-4 (ISBN)
Description
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.
More details
Product info
Book
Series
Edition
2018
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
College/higher education
Illustrations
Bibliographie
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 22 mm
Weight
623 gr
ISBN-13
978-3-319-91213-4 (9783319912134)
DOI
10.1007/978-3-319-91214-1
Schweitzer Classification
Other editions
Additional editions

Zhongwei Shen
Periodic Homogenization of Elliptic Systems
Book
01/2019
Birkhäuser
€106.99
Shipment within 7-9 days

Zhongwei Shen
Periodic Homogenization of Elliptic Systems
E-Book
09/2018
1st Edition
Birkhäuser
€106.99
Available for download
Content
Elliptic Systems of Second Order with Periodic Coeffcients.- Convergence Rates, Part I.- Interior Estimates.- Regularity for Dirichlet Problem.- Regularity for Neumann Problem.- Convergence Rates, Part II.- L2 Estimates in Lipschitz Domains.