| 书目名称 | Equations in Mathematical Physics | | 副标题 | A practical course | | 编辑 | Victor P. Pikulin,Stanislav I. Pohozaev | | 视频video | | | 图书封面 |  | | 描述 | This handbook is addressed to students of technology institutf‘s where a course on mathematical physics of relatively reduced volume is offered, as well as to engineers and scientists. The aim of the handbook is to treat (demonstrate) the basic methods for solving the simplest problems of classical mathematical physics. The most basic among the methods considered hrre i8 the superposition method. It allows one, based on particular linearly indepmdent HolutionH (solution "atoms"), to obtain the solution of a given problem. To that end the "Hupply" of solution atoms must be complete. This method is a development of the well-known method of particular solutions from the theory of ordinar~‘ differelltial equations. In contrast to the case of ordinary differential equations, where the number of linearly independent 80lutions is always finite, for a linear partial differrntial equation a complete "supply" of solution atoms is always infinite. This infinite set of Holutions may be discrete (for example, for regular boundary vahlP problems in a bounded domain), or form a continuum (for example, in the case of problems in the whole space). In the first case the superposition method reduces | | 出版日期 | Book 2001 | | 关键词 | Partial differential equations; eliptic; hyperbolic; parabolic; Boundary value problem; Cauchy problem; di | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-8285-9 | | isbn_softcover | 978-3-0348-9503-3 | | isbn_ebook | 978-3-0348-8285-9 | | copyright | Springer Basel AG 2001 |
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发表于 2025-3-21 18:18:11
