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偏微分方程Partial differential equations

封面

作者:Jurgen Jost[著]

页数:13,356页

出版社:世界图书出版公司

出版日期:2011

ISBN:9787510032967

电子书格式:pdf/epub/txt

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:

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。

目录

目次:以拉普拉斯方程为原型的二阶椭圆偏微分方程;最大值原理;存在性技巧Ⅰ:基于最大值原理的方法;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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Article Title:《偏微分方程Partial differential equations》
Article link:https://www.teccses.org/1259014.html