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1、LectureNotesinAppliedDifferentialEquationsofMathematicalPhysicsThispageintentionallyleftblankLectureNotesinAppliedDifferentialEquationsofMathematicalPhysicsLuizCLBotelhoFederalUniversity,BrazilWorldScientificNEWJERSEY•LONDON•SINGAPORE•BEIJING•SHANGHAI•HONGKONG•TAIPEI•CHENNAIThispageintentio
2、nallyleftblankPublishedbyWorldScientificPublishingCo.Pte.Ltd.5TohTuckLink,Singapore596224USAoffice:27WarrenStreet,Suite401-402,Hackensack,NJ07601UKoffice:57SheltonStreet,CoventGarden,LondonWC2H9HEBritishLibraryCataloguing-in-PublicationDataAcataloguerecordforthisbookisavailablefromtheBritis
3、hLibrary.LECTURENOTESINAPPLIEDDIFFERENTIALEQUATIONSOFMATHEMATICALPHYSICSCopyright©2008byWorldScientificPublishingCo.Pte.Ltd.Allrightsreserved.Thisbook,orpartsthereof,maynotbereproducedinanyformorbyanymeans,electronicormechanical,includingphotocopying,recordingoranyinformationstorageandretri
4、evalsystemnowknownortobeinvented,withoutwrittenpermissionfromthePublisher.Forphotocopyingofmaterialinthisvolume,pleasepayacopyingfeethroughtheCopyrightClearanceCenter,Inc.,222RosewoodDrive,Danvers,MA01923,USA.Inthiscasepermissiontophotocopyisnotrequiredfromthepublisher.ISBN-13978-981-281-45
5、7-9ISBN-10981-281-457-4PrintedinSingapore.ZhangJi-LecNotesinApplied.pmd112/10/2008,7:41PMAugust6,200815:469inx6inB-640fmForallthosewhodonotthinkthatdoingresearchandwritingisjusttosignandbe“co-author”inother’spapers.August6,200815:469inx6inB-640fmThispageintentionallyleftblankAugust6,200815:
6、469inx6inB-640fmForeword“...BothMathematicsandPhysicsareinastateofcrisisinpresentdays,fromintellectualandsocialsidessimultaneously.Bothhavemuchtocon-tributetoeachother’sdisciplines,andIbelievethatarenewaloftheirtraditionalliaisonwouldgofartocureatleasttheintellectualsideofthemalaisefeltbywo
7、rkersinbothdisciplines...”—RobertHermanninLec-turesinMathematicalPhysics—Vol.I&Vol.II.Myaiminthissetofinformallecturenotesonappliedmathematicalanalysisistopresentmathematicalauthor’soriginalresearchmaterial(Chaps.3–9andappendixes)revisedandamplifiedofourt
