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.
Previews available in: English
Subjects
| Edition | Availability |
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1
Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations
2010, Cambridge University Press
in English
0511546734 9780511546730
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2
Perturbation of the Boundary in Boundary-value Problems of Partial Differential Equations
2005, Cambridge University Press
in English
051111317X 9780511113178
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3
Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations
June 13, 2005, Cambridge University Press
Paperback
in English
0521574919 9780521574914
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