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1、ManfredKrachtErwinKreyszigMethodsofComplexAnalysisinPartialDifferentialEquationswithApplicationsCANADIANMATHEMATICALSOCIETYSERIESOFMONOGRAPHSANDADVANCEDTEXTSAWILEY-INTERSCIENCEPUBLICATIONMethodsofComplexAnalysisinPartialDifferentialEquationswithApplicationsMANFREDKRACHTUnive
2、rsityofDiisseldorfDksseldorf,GermanyERWINKREYSZIGCarletonUniversityOttawa,Ontario,CanadaWILEYAWiley-IntersciencePublicationJOHNWILEY&SONSNewYorkChichester-BrisbaneToronto-SingaporeCopyright®1988byJohnWiley&Sons,Inc.Allrightsreserved.PublishedsimultaneouslyinCanada.Reproducti
3、onortranslationofanypartofthisworkbeyondthatpermittedbySection107or108ofthe1976UnitedStatesCopyrightActwithoutthepermissionofthecopyrightownerisunlawful.RequestsforpermissionorfurtherinformationshouldbeaddressedtothePermissionsDepartment,JohnWiley&Sons,Inc.LibraryofCongressC
4、ataloginginPublicationDataKracht,Manfred.Methodsofcomplexanalysisinpartialdifferentialequationswithapplications.(CanadianMathematicalSocietyseriesofmonographsandadvancedtexts)"AWiley-Intersciencepublication."Bibliography:pp.349-378.1.Functionsofcomplexvariables.2.Differentia
5、lequations,Partial.I.Kreyszig,Erwin.II.Title.III.Series.QA331.K7831987515.3'5387-33993ISBN0-471-83091-7PrintedintheUnitedStatesofAmerica10987654321PrefaceThisbookisdevotedtothedevelopmentofcomplexfunctiontheoreticmethodsinpartialdifferentialequationsandtothestudyoftheanalyti
6、cbehaviorofsolutions.Themainpurposeofthebookisthepresentationofsomebasicfactsandrecentresults,emphasizingthemethodofintegraloperatorsasinitiatedbyS.Bergman,M.Eithler,andI.N.VekuaanddevelopedfurtherbyD.L.Colton,R.P.Gilbert,E.Lanckau,J.Mitchell,M.M.Schiffer,andmanyothers,andth
7、emethodofdifferentialoperatorsasusedbyK.W.Bauer,H.Florian,G.Jank,E.Peschl,S.Ruscheweyh,andtheirschools.Thesemethodsofapplyingconceptsandresultsofcomplexanalysisinthestudyofpartialdifferentialequationshasbecomealargefieldofitsown.Indeed,thenumberofpapersinthisfieldanditsappli
8、cationtofluidflow,elasticityproblems,quantummechanics,andotherareasisgrowin