ENGLISH

Perturbation of the boundary in boundary-value problems of partial differential equations

By Dan Henry , Jack Hale , Antônio Luiz Pereira

Book information

Publisher
Cambridge University Press
Year
2005
ISBN
0521574919, 9780521574914, 9780511113178
Open Library ID
OL7746937M
Language
english
Format
PDF
Filesize
1 MB (1323090 bytes)
Series
London Mathematical Society lecture note series 318
Pages
216\216
Library
Kolxo3
Time added
2009-07-20 03:45:11

Description

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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