| 书目名称 | Higher Order Partial Differential Equations in Clifford Analysis |
| 副标题 | Effective Solutions |
| 编辑 | Elena Obolashvili |
| 视频video | |
| 概述 | New types of parabolic equations of high order considered in the Clifford analysis framework.Pluri-Beltrami and plurigeneralized Beltrami equations for ellpitic and hyperbolic cases.Boundary and initi |
| 丛书名称 | Progress in Mathematical Physics |
| 图书封面 |  |
| 描述 | The most important thing is to write equations in a beautiful form and their success in applications is ensured. Paul Dirac The uniqueness and existence theorems for the solutions of boundary and initial value problems for systems of high-order partial differential equations (PDE) are sufficiently well known. In this book, the problems considered are those whose solutions can be represented in quadratures, i.e., in an effective form. Such problems have remarkable applications in mathematical physics, the mechanics of deformable bodies, electro magnetism, relativistic quantum mechanics, and some of their natural generalizations. Almost all such problems can be set in the context of Clifford analysis. Moreover, they can be obtained without applying any physical laws, a circumstance that gives rise to the idea that Clifford analysis itself can suggest generalizations of classical equations or new equations altogether that may have some physical content. For that reason, Clifford analysis represents one of the most remarkable fields in modem mathematics as well as in modem physics. |
| 出版日期 | Book 2003 |
| 关键词 | Applications of Mathematics; Boundary value problem; Clifford Analysis; Partial Differential Equations; |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4612-0015-4 |
| isbn_softcover | 978-1-4612-6573-3 |
| isbn_ebook | 978-1-4612-0015-4Series ISSN 1544-9998 Series E-ISSN 2197-1846 |
| issn_series | 1544-9998 |
| copyright | Springer Science+Business Media New York 2003 |
发表于 2025-3-21 17:12:56
