Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations (London Ma 在线电子书 图书标签: 数学
发表于2024-08-25
Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations (London Ma 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024
Perturbation of the boundary is a rather neglected topic in the study of PDEs for two main reasons. First, on the surface it appears trivial, merely a change of variables and an application of the chain rule. Second, carrying out such a change of variables frequently results in long and difficult calculations. Here the author carefully discusses a calculus that allows the computational morass to be bypassed, and he goes on to develop more general forms of standard theorems, which help answer a wide range of problems involving boundary perturbations. Many examples are presented to demonstrate the usefulness of the author's approach, while on the other hand many tantalizing open questions remain. Anyone whose research involves PDEs will find something of interest in this book.
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Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations (London Ma 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024