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1、UniversitextFriedrichSauvignyPartialDifferentialEquations1FoundationsandIntegralRepresentationsWithConsiderationofLecturesbyE.Heinz123FriedrichSauvignyBrandenburgischeTechnischeUniversitätCottbusFakultät1,LehrstuhlMathematik,insbes.AnalysisUniversitätsplatz3/4
2、03044CottbusGermanye-mail:sauvigny@math.tu-cottbus.deLlibrarayofCongressControlNumber:2006929532MathematicsSubjectClassification(2000):35,30,31,45,46,49,53ISBN-103-540-34457-8SpringerBerlinHeidelbergNewYorkISBN-13978-3-540-34457-5SpringerBerlinHeidelbergNewYork
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5、cience+BusinessMediaspringer.com©Springer-VerlagBerlinHeidelberg2006PrintedinGermanyTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotective
6、lawsandregulationsandthereforefreeforgeneraluse.Coverdesign:ErichKirchner,HeidelbergTypesetbytheauthorusingaSpringerLATEXmacropackageProduction:LE-TEXJelonek,Schmidt&VöcklerGbR,LeipzigPrintedonacid-freepaper40/3100YL-543210DedicatedtothememoryofmyparentsPaulSa
7、uvignyundMargret,geb.Mercklinghaus.IntroductiontoVolume1–FoundationsandIntegralRepresentationsPartialdifferentialequationsequallyappearinphysicsandgeometry.Withinmathematicstheyunitetheareasofcomplexanalysis,differentialgeome-tryandcalculusofvariations.Theinvest
8、igationofpartialdifferentialequa-tionshassubstantiallycontributedtothedevelopmentoffunctionalanalysis.Thougharelativelyuniformtreatmentofordinarydifferentialequationsispossible,quite
