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Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations

Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations

Paperback

Series: London Mathematical Society Lecture Note, Book 318

General Mathematics

ISBN10: 0521574919
ISBN13: 9780521574914
Publisher: Cambridge University Press
Published: May 26 2005
Pages: 216
Weight: 0.71
Height: 0.49 Width: 6.00 Depth: 9.00
Language: English
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. In this book, first published in 2005, 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.

Also from

Henry, D.

Also in

General Mathematics