LEADER 03288nam 22006015 450 001 996466480903316 005 20200702151452.0 010 $a3-540-44501-3 024 7 $a10.1007/b98245 035 $a(CKB)1000000000231400 035 $a(SSID)ssj0000326178 035 $a(PQKBManifestationID)11264635 035 $a(PQKBTitleCode)TC0000326178 035 $a(PQKBWorkID)10296280 035 $a(PQKB)11766960 035 $a(DE-He213)978-3-540-44501-2 035 $a(MiAaPQ)EBC6304040 035 $a(MiAaPQ)EBC5592065 035 $a(Au-PeEL)EBL5592065 035 $a(OCoLC)56426827 035 $a(PPN)155207822 035 $a(EXLCZ)991000000000231400 100 $a20121227d2004 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aReconstruction of Small Inhomogeneities from Boundary Measurements$b[electronic resource] /$fby Habib Ammari, Hyeonbae Kang 205 $a1st ed. 2004. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2004. 215 $a1 online resource (X, 242 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1846 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-22483-1 320 $aIncludes bibliographical references and index. 327 $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. 330 $aThis is the first book to provide a systematic exposition of promising techniques for the reconstruction of small inhomogeneities from boundary measurements. In particular, theoretical results and numerical procedures for the inverse problems for the conductivity equation, the Lamé system, as well as the Helmholtz equation are discussed in a readable and informative manner. The general approach developed in this book is based on layer potential techniques and modern asymptotic analysis of partial differential equations. The book is particularly suitable for graduate students in mathematics. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1846 606 $aPartial differential equations 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 615 0$aPartial differential equations. 615 14$aPartial Differential Equations. 676 $a511.4 700 $aAmmari$b Habib$4aut$4http://id.loc.gov/vocabulary/relators/aut$0285807 702 $aKang$b Hyeonbae$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466480903316 996 $aReconstruction of Small Inhomogeneities from Boundary Measurements$92517625 997 $aUNISA