| 000 | 02502nam a22003738i 4500 | ||
|---|---|---|---|
| 001 | CR9780511546730 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160238.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 090508s2005||||enk o ||1 0|eng|d | ||
| 020 | _a9780511546730 (ebook) | ||
| 020 | _z9780521574914 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA379 _b.H46 2005 |
| 082 | 0 | 0 |
_a515/.353 _222 |
| 100 | 1 |
_aHenry, Dan, _d1944-2002, _eauthor. |
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| 245 | 1 | 0 |
_aPerturbation of the boundary in boundary-value problems of partial differential equations / _cDan Henry. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2005. |
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| 300 |
_a1 online resource (viii, 206 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aLondon Mathematical Society lecture note series ; _v318 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 505 | 0 | _aGeometrical preliminaries -- Differential calculus of boundary perturbations -- Examples using the implicit function theorem -- Bifurcation problems -- The tranversality theorem -- Generic perturbation of the boundary -- Boundary operators for second-order elliptic equations -- The method of rapidly-oscillating solutions. | |
| 520 | _aPerturbation 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. | ||
| 650 | 0 | _aBoundary value problems. | |
| 650 | 0 | _aPerturbation (Mathematics) | |
| 650 | 0 | _aDifferential equations, Partial. | |
| 776 | 0 | 8 |
_iPrint version: _z9780521574914 |
| 830 | 0 |
_aLondon Mathematical Society lecture note series ; _v318. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511546730 |
| 999 |
_c518231 _d518229 |
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