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1、ProblemBooksinMathematicsEditedbyP.WinklerForothertitlespublishedinthisseries,gotowww.springer.com/series/714AlexanderKomech•AndrewKomechPrinciplesofPartialDifferentialEquationsAlexanderKomechAndrewKomechFacultyofMathematicsDepartmentofMathematicsViennaUnive
2、rsityTexasA&MUniversity1090ViennaCollegeStation,TX77843AustriaUSAalexander.komech@univie.ac.atcomech@math.tamu.eduSeriesEditor:PeterWinklerDepartmentofMathematicsDartmouthCollegeHanover,NH03755USApeter.winkler@dartmouth.eduISBN978-1-4419-1095-0e-ISBN978-1-44
3、19-1096-7DOI10.2007/978-1-4419-1096-7SpringerNewYorkDordrechtHeidelbergLondonLibraryofCongressControlNumber:2009932894MathematicsSubjectClassification(2000):32-XX,35-00,35-01©SpringerScience+BusinessMedia,LLC2009Allrightsreserved.Thisworkmaynotbetranslatedor
4、copiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(SpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,
5、electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopiniona
6、stowhetherornottheyaresubjecttoproprietaryrights.Coverart:OlgaRozmakhova,nominatim.olga@gmail.comPrintedonacid-freepaperSpringerispartofSpringerScience+BusinessMedia(www.springer.com)PrefaceThisbookisintendedtogivethereaderanopportunitytomastersolvingPDEprob
7、-lems.OurmaingoalwastohaveaconcisetextthatwouldcovertheclassicaltoolsofPDEtheorythatareusedintoday’sscienceandengineering,suchascharac-teristics,thewavepropagation,theFouriermethod,distributions,Sobolevspaces,fundamentalsolutions,andGreen’sfunctions.Whileint
8、roductoryFouriermethodbasedPDEbooksdonotgiveanadequatedescriptionoftheseareas,themoreadvancedPDEbooksarequitetheoreticalandrequireahighlevelofmathematicalbackgroundfromareader.Thisbookwaswritten
