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1、TextsinAppliedMathematics13EditorsJ.E.MarsdenL.SirovichS.S.AntmanAdvisorsG.IoossP.HolmesD.BarkleyM.DellnitzP.NewtonSpringerNewYorkBerlinHeidelbergHongKongLondonMilanParisTokyoMichaelRenardyRobertC.RogersAnIntroductiontoPartialDifferentialEquationsSecondEditionWith41IllustrationsMichaelRenardyRob
2、ertC.RogersDepartmentofMathematics460McBrydeHallVirginiaPolytechnicInstituteandStateUniversityBlacksburg,VA24061USArenardym@math.vt.edurogers@math.vt.eduSeriesEditorsJ.E.MarsdenL.SirovichControlandDynamicalSystems,107–81DivisionofAppliedMathematicsCaliforniaInstituteofTechnologyBrownUniversityPa
3、sadena,CA91125Providence,RI02912USAUSAmarsden@cds.caltech.educhico@camelot.mssm.eduS.S.AntmanDepartmentofMathematicsandInstituteforPhysicalScienceandTechnologyUniversityofMarylandCollegePark,MD20742-4015USAssa@math.umd.eduMathematicsSubjectClassification(2000):35-01,46-01,47-01,47-05LibraryofCon
4、gressCataloging-in-PublicationDataRenardy,MichaelAnintroductiontopartialdifferentialequations/MichaelRenardy,RobertC.Rogers.—2nded.p.cm.—(Textsinappliedmathematics;13)Includesbibliographicalreferencesandindex.ISBN0-387-00444-0(alk.paper)1.Differentialequations,Partial.I.Rogers,RobertC.II.Title.I
5、II.Series.QA374.R42442003515¢.353—dc212003042471ISBN0-387-00444-0Printedonacid-freepaper.Ó2004,1993Springer-VerlagNewYork,Inc.Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(Springer-VerlagNewYork,Inc.,175FifthAvenue,NewYork,NY10010,US
6、A),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemar
7、ks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.PrintedintheUnitedStatesofAmerica.987654321SPIN10911655www.springer-ny.comSpringer-Ve