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1、UniversitextFriedrichSauvignyPartialDifferentialEquations1FoundationsandIntegralRepresentationsWithConsiderationofLecturesbyE.Heinz123FriedrichSauvignyBrandenburgischeTechnischeUniversitätCottbusFakultät1,LehrstuhlMathematik,insbes.AnalysisUniversitätsplatz3/403044CottbusGermanye
2、-mail:sauvigny@math.tu-cottbus.deLlibrarayofCongressControlNumber:2006929532MathematicsSubjectClassification(2000):35,30,31,45,46,49,53ISBN-103-540-34457-8SpringerBerlinHeidelbergNewYorkISBN-13978-3-540-34457-5SpringerBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsar
3、ereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.Duplicationofthispublicationorpartsthereofispermittedonlyundertheprovision
4、softheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMediaspringer.com©Springer-VerlagBerlinHeidelberg2006PrintedinGer
5、manyTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Coverdesign:ErichKirchner,HeidelbergTypesetbytheauth
6、orusingaSpringerLATEXmacropackageProduction:LE-TEXJelonek,Schmidt&VöcklerGbR,LeipzigPrintedonacid-freepaper40/3100YL-543210DedicatedtothememoryofmyparentsPaulSauvignyundMargret,geb.Mercklinghaus.IntroductiontoVolume1–FoundationsandIntegralRepresentationsPartialdifferentialequation
7、sequallyappearinphysicsandgeometry.Withinmathematicstheyunitetheareasofcomplexanalysis,differentialgeome-tryandcalculusofvariations.Theinvestigationofpartialdifferentialequa-tionshassubstantiallycontributedtothedevelopmentoffunctionalanalysis.Thougharelativelyuniformtreatmentofordi
8、narydifferentialequationsispossible,quite
