| 书目名称 | Crack Theory and Edge Singularities |
| 编辑 | David Kapanadze,B.-Wolfgang Schulze |
| 视频video | http://file.papertrans.cn/240/239235/239235.mp4 |
| 概述 | Systematically develops for the first time an approach in terms of algebras of (pseudo-differential) boundary value problems |
| 丛书名称 | Mathematics and Its Applications |
| 图书封面 |  |
| 描述 | Boundary value problems for partial differential equations playa crucial role in many areas of physics and the applied sciences. Interesting phenomena are often connected with geometric singularities, for instance, in mechanics. Elliptic operators in corresponding models are then sin gular or degenerate in a typical way. The necessary structures for constructing solutions belong to a particularly beautiful and ambitious part of the analysis. Cracks in a medium are described by hypersurfaces with a boundary. Config urations of that kind belong to the category of spaces (manifolds) with geometric singularities, here with edges. In recent years the analysis on such (in general, stratified) spaces has become a mathematical structure theory with many deep relations with geometry, topology, and mathematical physics. Key words in this connection are operator algebras, index theory, quantisation, and asymptotic analysis. Motivated by Lame‘s system with two-sided boundary conditions on a crack we ask the structure of solutions in weighted edge Sobolov spaces and subspaces with discrete and continuous asymptotics. Answers are given for elliptic sys tems in general. We construct parametric |
| 出版日期 | Book 2003 |
| 关键词 | Boundary value problem; analytic function; differential calculus; differential operator; manifold; partia |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-94-017-0323-9 |
| isbn_softcover | 978-90-481-6384-7 |
| isbn_ebook | 978-94-017-0323-9 |
| copyright | Springer Science+Business Media Dordrecht 2003 |
|Archiver|手机版|小黑屋|
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