000 | 02927nam a22004695i 4500 | ||
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001 | 978-3-540-44501-2 | ||
003 | DE-He213 | ||
005 | 20190213151357.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s2004 gw | s |||| 0|eng d | ||
020 |
_a9783540445012 _9978-3-540-44501-2 |
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024 | 7 |
_a10.1007/b98245 _2doi |
|
050 | 4 | _aQA370-380 | |
072 | 7 |
_aPBKJ _2bicssc |
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072 | 7 |
_aMAT007000 _2bisacsh |
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072 | 7 |
_aPBKJ _2thema |
|
082 | 0 | 4 |
_a515.353 _223 |
100 | 1 |
_aAmmari, Habib. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aReconstruction of Small Inhomogeneities from Boundary Measurements _h[electronic resource] / _cby Habib Ammari, Hyeonbae Kang. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2004. |
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300 |
_aX, 242 p. _bonline resource. |
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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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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1846 |
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505 | 0 | _aIntroduction -- Part I: Detection of Small Conductivity Inclusions; Transmission Problem; Generalized Polarization Tensors; Derivation of the Full Asymptotic Formula; Detection of Inclusions -- Part II: Detection of Small Elastic Inclusions; Transmission Problem for Elastostatics; Elastic Moment Tensor; Derivation of Small Asymptotic Expansions; Detections of Inclusions -- Part III: Detection of Small Electromagnetic Inclusions; Well-Posedness; Representation of Solutions; Derivation of Asymptotic Formulae; Reconstruction Algorithms -- Appendices -- References -- Index. | |
520 | _aThis is the first book to provide a systematic exposition of promising techniques for the reconstruction of small inhomogeneities from boundary measurements. In particular, theoretical results and numerical procedures for the inverse problems for the conductivity equation, the Lamé system, as well as the Helmholtz equation are discussed in a readable and informative manner. The general approach developed in this book is based on layer potential techniques and modern asymptotic analysis of partial differential equations. The book is particularly suitable for graduate students in mathematics. | ||
650 | 0 | _aDifferential equations, partial. | |
650 | 1 | 4 |
_aPartial Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12155 |
700 | 1 |
_aKang, Hyeonbae. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540224839 |
776 | 0 | 8 |
_iPrinted edition: _z9783662170915 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1846 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/b98245 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c10466 _d10466 |