| 书目名称 | Multi-Layer Potentials and Boundary Problems | | 副标题 | for Higher-Order Ell | | 编辑 | Irina Mitrea,Marius Mitrea | | 视频video | | | 概述 | Aimed at people working in different areas of mathematics with different levels of expertise, and with different goals in mind.The topics are new and mathematically sophisticated Readable, self-contai | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | .Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differential operator under discussion is of second order a variety of tools are available for dealing with such problems, including boundary integral methods, variational methods, harmonic measure techniques, and methods based on classical harmonic analysis. When the differential operator is of higher-order (as is the case, e.g., with anisotropic plate bending when one deals with a fourth order operator) only a few options could be successfully implemented. In the 1970s Alberto Calderón, one of the founders of the modern theory of Singular Integral Operators, advocated the use of layer potentials for the treatment of higher-order elliptic boundary value problems. The present monograph represents the first systematic treatment based on this approach..This research monograph lays, for the first time, the mathematical foundation aimed at solving boundary value problems for higher-order elliptic operators in non-smooth domains using the layer potential method and addresses a comprehensive range of topics, de | | 出版日期 | Book 2013 | | 关键词 | 35C15, 78A30, 78A45, 31B10, 35J05, 35J25; Lipschitz domains; Whitney arrays; multiple layers; trace and | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-32666-0 | | isbn_softcover | 978-3-642-32665-3 | | isbn_ebook | 978-3-642-32666-0Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 2013 |
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发表于 2025-3-21 19:23:33
