Perturbation of the Boundary in Boundary-Value Problems of Partial Differential…
Perturbation of the Boundary in Boundary-Value Problems of Partial Differential EquationsAuthor(s): Dan Henry, Jack Hale, Antnio Luiz Pereira\nFormat: Paperback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9780521574914, 978-0521574914\nSynopsis\nPerturbation 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 h.
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