Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations (London Ma

出版者:Cambridge University Press

作者:Dan Henry

页数:216

出版时间:2005-06-13

价格:USD 72.00

装帧:Paperback

isbn号码:9780521574914

丛书系列:London Mathematical Society Lecture Note Series

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.