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Titlebook: Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II; Volume II Vladimir Maz’ya,Serguei Nazarov,

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發(fā)表于 2025-3-21 16:11:04 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II
期刊簡稱Volume II
影響因子2023Vladimir Maz’ya,Serguei Nazarov,Boris A. Plamenevs
視頻videohttp://file.papertrans.cn/164/163835/163835.mp4
學(xué)科分類Operator Theory: Advances and Applications
圖書封面Titlebook: Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II; Volume II Vladimir Maz’ya,Serguei Nazarov,
影響因子.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
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0255-0156 the homogenization of differential and difference equations on periodic grids and lattices is given. Much attention is paid to concrete problems in mathematical978-3-0348-9564-4978-3-0348-8432-7Series ISSN 0255-0156 Series E-ISSN 2296-4878
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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume IIVolume II
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Drawing from an Urn is Isometric, we provide compatibility conditions for the two first problems. In the general case, the role of the third limit problem can be played by a problem with small parameter by the derivatives of higher order, algebraic or differential equations on the boundary of a section, etc. (Section 16.3 contains the corresponding examples.)
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