ammari h., kang hyeonbae. reconstruction of small inhomogeneities from boundary measurements (lnm 1846, springer,2004)(isbn 3540224831)(231s)_mcde_

ammari h., kang hyeonbae. reconstruction of small inhomogeneities from boundary measurements (lnm 1846, springer,2004)(isbn 3540224831)(231s)_mcde_

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页数:231页

时间:2018-07-27

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1、LectureNotesinMathematics1846Editors:J.--M.Morel,CachanF.Takens,GroningenB.Teissier,ParisHabibAmmariHyeonbaeKangReconstructionofSmallInhomogeneitiesfromBoundaryMeasurements123AuthorsHabibAmmariCentredeMathematiquesAppliqu´ees´EcolePolytechnique´UMRCNRS-7641Palaiseau91128Francee-mail:ammari@c

2、mapx.polytechnique.frHyeonbaeKangSchoolofMathematicalSciencesSeoulNationalUniversitySeoul151-747Koreae-mail:hkang@math.snu.ac.krLibraryofCongressControlNumber:2004108535MathematicsSubjectClassification(2000):35R30,35B30ISSN0075-8434ISBN3-540-22483-1SpringerBerlinHeidelbergNewYorkDOI:10.1007/

3、b98245Thisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.Duplicationofthispublicationorpartsthe

4、reofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer-Verlag.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMediahttp://www.springeronline.com

5、cSpringer-VerlagBerlinHeidelberg2004PrintedinGermanyTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Typesetting:Ca

6、mera-readyTEXoutputbytheauthorsPrintedonacid-freepaper41/3141/du-543210PrefaceElectricalimpedancetomography(EIT)seekstorecovertheelectricalcon-ductivitydistributioninsideabodyfrommeasurementsofcurrentflowsandvoltagesonitssurface.ThevastandgrowingliteraturereflectsmanypossibleapplicationsofEITt

7、echniques,e.g.,formedicaldiagnosisornondestructiveevaluationofmaterials.Sincetheunderlyinginverseproblemisnonlinearandseverelyill-posed,generalpurposeEITreconstructiontechniquesarelikelytofail.Thereforeitisgenerallyadvisabletoincorporatea-priorikno

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