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1、AppliedMathematicalSciencesVolume115EditorsS.S.AntmanJ.E.MarsdenDepartmentofMathematicsControlandDynamicalSystems,and107-81InstituteforPhysicalCaliforniaInstituteofTechnologyScienceandTechnologyPasadena,CA91125UniversityofMarylandUSACollegePark,MD20742-4015marsden@cds.caltech.eduUSAssa@math.umd.ed
2、uL.SirovichLaboratoryofAppliedMathematicsDepartmentofBiomathematicalSciencesMountSinaiSchoolofMedicineNewYork,NY10029-6574lsirovich@rockefeller.eduAdvisorsL.GreengardP.HolmesJ.KeenerJ.KellerR.LaubenbacherB.J.MatkowskyA.MielkeC.S.PeskinK.R.SreenivasanA.StevensA.StuartForfurthervolumes:http://www.sp
3、ringer.com/series/34MichaelE.TaylorPartialDifferentialEquationsIBasicTheorySecondEdition123MichaelE.TaylorDepartmentofMathematicsUniversityofNorthCarolinaChapelHill,NC27599USAmet@math.unc.eduISSN0066-5452ISBN978-1-4419-7054-1e-ISBN978-1-4419-7055-8DOI10.1007/978-1-4419-7055-8SpringerNewYorkDordrec
4、htHeidelbergLondonLibraryofCongressControlNumber:2010937758MathematicsSubjectClassification(2010):35A01,35A02,35J05,35J25,35K05,35L05,35Q30,35Q35,35S05cSpringerScience+BusinessMedia,LLC1996,2011Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepubli
5、sher(SpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelop
6、edisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.Printedonacid-freepaperSpringerispartofSpringerScience+BusinessMedia(www.springer.com)Tom
7、ywifeanddaughter,JaneHawkinsandDianeTaylorContentsContentsofVolumesIIandIII................................................xiPreface............................................................................xiii