000 02927nam a22004695i 4500
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
024 7 _a10.1007/b98245
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
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.
300 _aX, 242 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1846
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