Springer.Partial.Differential.Equations;.V2;.Functional.Analytic.Methods.[Sauvigny;.Springer.2006]

Springer.Partial.Differential.Equations;.V2;.Functional.Analytic.Methods.[Sauvigny;.Springer.2006]

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页数:399页

时间:2019-03-13

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1、FriedrichSauvignyPartialDifferentialEquations2FunctionalAnalyticMethodsWithConsiderationofLecturesbyE.Heinz123FriedrichSauvignyBrandenburgischeTechnischeUniversitätCottbusFakultät1,LehrstuhlMathematik,insbes.AnalysisUniversitätsplatz3/403044CottbusGermanye-mail:sauvigny@math.tu-cottbus.

2、deLlibrarayofCongressControlNumber:2006929533MathematicsSubjectClassification(2000):35,30,31,45,46,49,53ISBN-103-540-34461-6SpringerBerlinHeidelbergNewYorkISBN-13978-3-540-34461-2SpringerBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthema

3、terialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,ini

4、tscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMediaspringer.com©Springer-VerlagBerlinHeidelberg2006PrintedinGermanyTheuseofgeneraldescriptivenames,registerednames,

5、trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Coverdesign:ErichKirchner,HeidelbergTypesetbytheauthorusingaSpringerLATEXmacropackageProduction:LE-TEXJelonek,S

6、chmidt&VöcklerGbR,LeipzigPrintedonacid-freepaper40/3100YL-543210DedicatedtothememoryofmyparentsPaulSauvignyundMargret,geb.Mercklinghaus.IntroductiontoVolume2–FunctionalAnalyticMethodsInthissecondvolume,FunctionalAnalyticMethods,wecontinueourtextbookPartialDifferentialEquationsofGeometry

7、andPhysics.Frombothareasweshallanswercentralquestionssuchascurvatureestimatesoreigenvalueproblems,forinstance.Withthetitleofourtextbookwealsowanttoemphasizethepureandappliedaspectsofpartialdifferentialequa-tions.Itturnsoutthattheconceptsofsolutionsarepermanentlyextendedinthetheo

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