| 书目名称 | Symmetries and Overdetermined Systems of Partial Differential Equations | | 编辑 | Michael Eastwood,Willard Miller | | 视频video | | | 丛书名称 | The IMA Volumes in Mathematics and its Applications | | 图书封面 |  | | 描述 | .Symmetries in various forms pervade mathematics and physics. Globally, there are the symmetries of a homogenous space induced by the action of a Lie group. Locally, there are the infinitesimal symmetries induced by differential operators, including not only those of first order but of higher order too. This three-week summer program considered the symmetries preserving various natural geometric structures. Often these structures are themselves derived from partial differential equations whilst their symmetries turn out to be contrained by overdetermined systems. This leads to further topics including separation of variables, conserved quantities, superintegrability, parabolic geometry, represantation theory, the Bernstein-Gelfand-Gelfand complex, finite element schemes, exterior differential systems and moving frames...There are two parts to the Proceedings. The articles in the first part are expository but all contain significant new material. The articles in the second part are concerned with original research. All articles were thoroughly refereed and the range of interrelated work ensures that this will be an extremely useful collection.. | | 出版日期 | Book 2008 | | 关键词 | Overdetermined Systems; Partial Differential Equations; Symmetries; ordinary differential equation; part | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-73831-4 | | isbn_softcover | 978-1-4419-2533-6 | | isbn_ebook | 978-0-387-73831-4Series ISSN 0940-6573 Series E-ISSN 2198-3224 | | issn_series | 0940-6573 | | copyright | Springer-Verlag New York 2008 |
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发表于 2025-3-21 17:10:05
