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1、LecturesinAPPLIEDMATHEMATICSVolume3APartialDifferentialEquationsAmericanMathematicalSocietyLECTURESINAPPLIEDMATHEMATICSProceedingsoftheSummerSeminar,Boulder,Colorado,1957VolumeIProbabilityandRelatedTopicsinPhysicalSciencesBYMARKKACwithG.E.UHLENBF.CK,A.R.HIBBS,andBALTH.VANDERPOLVolumeIIFluidMec
2、hanicsBySYDNEYGOTDSTE.TNwithJ.M.BURGERSVolumeIIIPartialDifferentialEquationsByLIPMANBERs,FRITLJOHN,andMARTINSCHECHTERwithLARSGARDINGandA.N.MILGRAMVolumeIVSolidMechanicsByR.S.RIVI.INwithW.PRAGERLECTURESINAPPLIEDMATHEMATICSProceedingsoftheSummerSeminar,Boulder,Colorado,1957AMERICANMATHEMATICALSO
3、CIETYEDITORIALCOMMITTEEALSTONS.HOUSEHOLDER,ChairmanOakRidgeNationalLaboratoryMARKKACRockefellerUniversityH.J.GREENBERGInternationalBusinessMachinesCorporationVOLUMEIIIPARTIALDIFFERENTIALEQUATIONSByLIPMANBERSFRITZJOHNMARTINSCHECHTERCourantInstituteofMathematicalSciences,NewYorkUniversityWITHSPE
4、CIALLECTURESBYLarsGirdingUniversityofLund,Lund,SwedenandthelateA.N.MilgramUniversityofMinnesota.AMERICANMATHEMATICALSOCIETYProvidence,RhodeIsland02904CopyrightQ1964byJohnWiley&Sons,Inc.AllRightsReservedThisbookoranypartthereofmaynotbereproducedinanyformwithoutthewrittenpermissionofthepublisher
5、.SECONDPRINTING,OCTOBER,1966BYJOHNWILEY&SONS,INC.THIRDPRINTING,1971BYTHEAMERICANMATHEMATICALSOCIETYInternationalStandardBookNumber0-8218-0047-3LibraryofCongressCatalogCardNumber63-19664PrintedintheUnitedStatesofAmericaARTHURNORTONMILGRAMJune3,1912-January30,1961ArthurNortonMilgramdiedsuddenlyo
6、nJanuary30,1961.Hewasapene-tratingmathematicianandaninspiringteacher.Thesurvivingauthors,whowerehisfriends,dedicatethisvolumetohismemory.ForewordThisisthethirdvolumeoftheProceedingsoftheSummerSeminaronAppliedMathematics,sponsoredbytheAmericanMathematicalSocietyandheldattheUniversityofColoradoo
7、verthefourweeksbeginningJune23,1957ThepurposeoftheSeminarwastutorial,topresenttomaturemathematiciansthecurrentstatusofthetheoryinseveralfieldscovered,andtoposeforthemsomeofthemorepressingandinterestingmathematicalproblemslyingopeninthes
