Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations / Dan Henry, Edited by Jack Hale, Antônio Luiz Pereira.
Material type:
TextSeries: London Mathematical Society Lecture Note Series ; no. 318Publisher: Cambridge : Cambridge University Press, 2005Description: 1 online resource (216 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511546730 (ebook)Subject(s): Boundary value problems | Perturbation (Mathematics) | Differential equations, PartialAdditional physical formats: Print version: : No titleDDC classification: 515/.353 LOC classification: QA379 | .H46 2005Online resources: Click here to access online Summary: 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.
E-BOOKS
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Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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.
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