| 书目名称 | Hyperbolic Partial Differential Equations | | 编辑 | Serge Alinhac | | 视频video | | | 概述 | Contains over 100 exercises.Do it yourself” instructions included for theorems.An elementary approach to partial differential equations presented, with minimal prerequisites.Self-contained chapters, s | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | The aim of this book is to present hyperbolic partial di?erential equations at an elementary level. In fact, the required mathematical background is only a third year university course on di?erential calculus for functions of several variables. No functional analysis knowledge is needed, nor any distribution theory (with the exception of shock waves mentioned below). k All solutions appearing in the text are piecewise classical C solutions. Beyond the simpli?cations it allows, there are several reasons for this choice: First, we believe that all main features of hyperbolic partial d- ferential equations (PDE) (well-posedness of the Cauchy problem, ?nite speed of propagation, domains of determination, energy inequalities, etc. ) canbedisplayedinthiscontext. Wehopethatthisbookitselfwillproveour belief. Second,allproperties,solutionformulas,andinequalitiesestablished here in the context of smooth functions can be readily extended to more general situations (solutions in Sobolev spaces or temperate distributions, etc. ) by simple standard procedures of functional analysis or distribution theory, which are “external” to the theory of hyperbolic equations: The deep mathematical content o | | 出版日期 | Textbook 2009 | | 关键词 | Vector field; conservation laws; hyperbolic partial differential equation; integral curves; partial diff | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-87823-2 | | isbn_softcover | 978-0-387-87822-5 | | isbn_ebook | 978-0-387-87823-2Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer-Verlag New York 2009 |
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发表于 2025-3-21 16:48:33
