Periodic Homogenization of Elliptic Systems (Hardcover, 1st ed. 2018)

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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Advances in Partial Differential Equations, 269
Release date:	September 2018
First published:	2018
Authors:	Zhongwei Shen
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	291
Edition:	1st ed. 2018
ISBN-13:	978-3-319-91213-4
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics Promotions
LSN:	3-319-91213-5
Barcode:	9783319912134

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