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偏微分方程Partial differential equations

偏微分方程Partial differential equations

出版社:世界图书出版公司出版时间:2011-04-01
开本: 23cm 页数: 13,356页
本类榜单:自然科学销量榜
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偏微分方程Partial differential equations 版权信息

  • ISBN:9787510032967
  • 条形码:9787510032967 ; 978-7-5100-3296-7
  • 装帧:一般胶版纸
  • 册数:暂无
  • 重量:暂无
  • 所属分类:>>

偏微分方程Partial differential equations 内容简介

  This textbook is intended for students who wish to obtain an introduction to the theory of partial differential equations (PDEs, for short), in particular, those of elliptic type. Thus, it does not offer a comprehensive overview of the whole field of PDEs, but tries to lead the reader to the most important methods and central results in the case of elliptic PDEs. The guiding question is how one can find a solution of such a PDE. Such a solution will, of course, depend on given constraints and, in turn, if the constraints are of the appropriate type, be uniquely determined by them. We shall pursue a number of strategies for finding a solution of a PDE; they can be informally characterized as follows:

偏微分方程Partial differential equations 目录

目次:以拉普拉斯方程为原型的二阶椭圆偏微分方程;*大值原理;存在性技巧Ⅰ:基于*大值原理的方法;存在性技巧Ⅱ:抛物方法.热方程;反应-扩散方程和系统;波方程以及与Laplace的关系和热方程;热方程,半群和布朗运动;Dirichlet原理,PDE解的变分法;Sobolev空间和L2规范性理论;强解;Schauder规范理论和连续性方法;Moser迭代法和de Giorgi和Nash规范性定理。
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偏微分方程Partial differential equations 作者简介

Jürgen Jost,德国马克斯普朗克科学数学研究所(Max Planck Institute for Mathematics in the Sciences)知名学者。

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