Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations (London Ma pdf epub mobi txt 电子书 下载 2025
- 数学
- 偏微分方程
- 边界值问题
- 扰动理论
- 泛函分析
- 数学分析
- 常微分方程
- 函数空间
- 拓扑学
- LMS讲义
- 数值分析
具体描述
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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