| 书目名称 | Fundamental Solutions of Linear Partial Differential Operators | | 副标题 | Theory and Practice | | 编辑 | Norbert Ortner,Peter Wagner | | 视频video | | | 概述 | Overview on general existence and uniqueness theorems for fundamental solutions.Rigorous derivation and verification of fundamental solutions and matrices without the usual recourse to physical intuit | | 图书封面 |  | | 描述 | .This monograph provides the theoretical foundations needed for the construction of fundamental solutions and fundamental matrices of (systems of) linear partial differential equations. Many illustrative examples also show techniques for finding such solutions in terms of integrals. Particular attention is given to developing the fundamentals of distribution theory, accompanied by calculations of fundamental solutions. .The main part of the book deals with existence theorems and uniqueness criteria, the method of parameter integration, the investigation of quasihyperbolic systems by means of Fourier and Laplace transforms, and the representation of fundamental solutions of homogeneous elliptic operators with the help of Abelian integrals. .In addition to rigorous distributional derivations and verifications of fundamental solutions, the book also shows how to construct fundamental solutions (matrices) of many physically relevant operators (systems), in elasticity, thermoelasticity, hexagonal/cubic elastodynamics, for Maxwell’s system and others. .The book mainly addresses researchers and lecturers who work with partial differential equations. However, it also offers a valuable reso | | 出版日期 | Book 2015 | | 关键词 | Fourier transform; Herglotz–Petrovsky–Leray formulas; Laplace transform; fundamental matrices; fundament | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-20140-5 | | isbn_softcover | 978-3-319-36799-6 | | isbn_ebook | 978-3-319-20140-5 | | copyright | Springer International Publishing Switzerland 2015 |
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发表于 2025-3-21 19:31:51
