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1、CHAPMAN&HALL/CRCMonographsandSurveysinPureandAppliedMathematics123INVERSEBOUNDARYSPECTRALPROBLEMSALEXANDERKATCHALOVYAROSLAVKURYLEVMATTILASSASCHAPMAN&HALL/CRCBocaRatonLondonNewYorkWashington,D.C.©2001byChapman&Hall/CRCCHAPMAN&HALL/CRCMonographsandSurvey
2、sinPureandAppliedMathematicsMainEditorsH.Brezis,UniversitédeParisR.G.Douglas,TexasA&MUniversityA.Jeffrey,UniversityofNewcastleuponTyne(FoundingEditor)EditorialBoardH.Amann,UniversityofZürichR.Aris,UniversityofMinnesotaG.I.Barenblatt,UniversityofCambrid
3、geH.Begehr,FreieUniversitätBerlinP.Bullen,UniversityofBritishColumbiaR.J.Elliott,UniversityofAlbertaR.P.Gilbert,UniversityofDelawareR.Glowinski,UniversityofHoustonD.Jerison,MassachusettsInstituteofTechnologyK.Kirchgässner,UniversitätStuttgartB.Lawson,S
4、tateUniversityofNewYorkB.Moodie,UniversityofAlbertaS.Mori,KyotoUniversityL.E.Payne,CornellUniversityD.B.Pearson,UniversityofHullI.Raeburn,UniversityofNewcastleG.F.Roach,UniversityofStrathclydeI.Stakgold,UniversityofDelawareW.A.Strauss,BrownUniversityJ.
5、vanderHoek,UniversityofAdelaide©2001byChapman&Hall/CRCLibraryofCongressCataloging-in-PublicationDataKachalov,Alexander.Inverseboundaryspectralproblems/AlexanderKachalov,YaroslavKurylevandMattiLassasp.cm.--(Chapman&Hall/CRCmonographsandsurveysinpureanda
6、ppliedmathematics)Includesbibliographicalreferencesandindex.ISBN1-58488-005-8(alk.paper)1.Inverseproblems(Differentialequations)2.Boundaryvalueproblems.I.Kurylev,Yaroslav.II.Lassas,Matti.III.Title.IV.Series.QA374.K282001515′.35—dc212001032511CIPCatalog
7、recordisavailablefromtheLibraryofCongressThisbookcontainsinformationobtainedfromauthenticandhighlyregardedsources.Reprintedmaterialisquotedwithpermission,andsourcesareindicated.Awidevarietyofreferencesarelisted.Reasonableeffortshavebeenmadetopublishrel
8、iabledataandinformation,buttheauthorandthepublishercannotassumeresponsibilityforthevalidityofallmaterialsorfortheconsequencesoftheiruse.Neitherthisbooknoranypartmaybereproducedortransmittedinanyformorbyanymeans,electronicormechanical,in