| 期刊全称 | Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II | | 期刊简称 | Volume II | | 影响因子2023 | Vladimir Maz’ya,Serguei Nazarov,Boris A. Plamenevs | | 视频video | | | 学科分类 | Operator Theory: Advances and Applications | | 图书封面 |  | | 影响因子 | .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 | | Pindex | Book 2000 |
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发表于 2025-3-21 16:11:04
