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＜電子ブック＞
Periodic Homogenization of Elliptic Systems / by Zhongwei Shen
(Advances in Partial Differential Equations. ISSN:25043595 ; 269)

版	1st ed. 2018.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2018
大きさ	IX, 291 p : online resource
著者標目	*Shen, Zhongwei author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Probabilities FREE:Differential Equations FREE:Probability Theory
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-319-91214-1

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