Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations [ electronic resource ] / by Dan Henry.
By: Henry, Dan.
Contributor(s): Hale, Jack [editor] | Pereira, Antônio Luiz [joint editor].
Material type:
TextSeries: London Mathematical Society Lecture Note Series (318). Publisher: Cambridge: Cambridge University Press , 2010ISBN: 9780511546730 ( e-book ).Subject(s): Recreational Mathematics | Differential and Integral Equations | Dynamical Systems and Control TheoryGenre/Form: Electronic booksDDC classification: 515.353 Online resources: https://doi.org/10.1017/CBO9780511546730 View to click 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.
| Item type | Current location | Call number | Status | Date due | Barcode |
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E-Book
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WWW | 515.353 HEN/P (Browse shelf) | Available | EB127 |
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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| Issue # | Publication date | Received date | Status | Note |
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| Vol. 12, No. 2 | 04/02/2017 | 09/22/2017 | Arrived |
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