资源描述:
《Springer.Partial.Differential.Equations;.V2;.Functional.Analytic.Methods.[Sauvigny;.Springer.2006]》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
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