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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains
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Nazarov, Serguei 作者
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出版日期
346 页数
$ 281.37 价格
丛书系列
9783764363987 图书编码

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发表于2024-09-19

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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains 在线电子书 图书描述

For the first time in the mathematical literature this two-volume work introduces a unified and general approach to the asymptotic analysis of elliptic boundary value problems in singularly perturbed domains. While the first volume is devoted to perturbations of the boundary near isolated singular points, this second volume treats singularities of the boundary in higher dimensions as well as nonlocal perturbations.At the core of this book are solutions of elliptic boundary value problems by asymptotic expansion in powers of a small parameter that characterizes the perturbation of the domain. In particular, it treats the important special cases of thin domains, domains with small cavities, inclusions or ligaments, rounded corners and edges, and problems with rapid oscillations of the boundary or the coefficients of the differential operator. The methods presented here capitalize on the theory of elliptic boundary value problems with nonsmooth boundary that has been developed in the past thirty years. Moreover, a study on the homogenization of differential and difference equations on periodic grids and lattices is given. Much attention is paid to concrete problems in mathematical physics, particularly elasticity theory and electrostatics.To a large extent the book is based on the authorsa (TM) work and has no significant overlap with other books on the theory of elliptic boundary value problems.

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