some applications of functional analysis in mathematical physics (s l sovolve)

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1、TranslationsofMATHEMATICALMONOGRAPHSVolume90SomeApplicationsofFunctionalAnalysisinMathematicalPhysicsThirdEditionS.L.SobolevUAmericanMathematicalSocietyTranslationsofMATHEMATICALMONOGRAPHSVolume90SomeApplicationsofFunctionalAnalysisinMathematicalPhysicsThirdEdit

2、ionS.L.SobolevAmericanMathematicalSocietyProvidence,RhodeIslandC.A.Co6onenHEKOTOPbIEIIPYIMEHEHLB-bYHKIIYIOHAJIbHOI'OAHAJII43ABMATEMATHLIECKOPIH3IIAHMETPETbEeHAYKAN,MOCKBA,1988TranslatedfromtheRussianbyHaroldH.McFaden2000MathematicsSubjectClassification.Primary46

3、-XX;Secondary35-XX.ABSTRACT.ThisisanexpositionofthetheoryofthefunctionspacesnowcalledSobolevspaces,whicharewidelyusedinthetheoryofpartialdifferentialequations,mathematicalphysics,andnumerousapplications;ofthevariationalmethodofsolutionofboundaryvalueproblemsfore

4、llipticequations,includingthosewithboundaryconditionsgivenonmanifoldsofdifferentdimensions;andofthetheoryoftheCauchyproblemforsecond-orderhyperbolicequationswithvariablecoefficients.Thisbookisintendedforresearchersinmathematicsandmathematicalphysics,aswellasgrad

5、uatestudentsandstudentsinadvancedcourses.Illustrations:12figuresBibliography:339titles.LibraryofCongressCataloging-in-PublicationDataSobolev,S.L.(SergeiL'vovich),1908-[Nekotoryeprimeneniiafunktsional'nogoanalizavmatematicheskoifizike.English)Someapplicationsoffu

6、nctionalanalysisinmathematicalphysics/S.LSobolev.-3rded.p.cm.-(Translationsofmathematicalmonographs;v.90)Translationof:Nekotoryeprimeneniiafunktsional'nogoanalizavmatematicheskoifizike.Includesbibliographicalreferences.ISBN0-8218-4549-71.Functionalanalysis.2.Dif

7、ferentialequations,Hyperbolic.3.Calculusofvariations.4.Boundaryvalueproblems.5.Mathematicalphysics.1.Title.U.Series.QC20.7.F84S6313199191-19869515'.7-dc20CIPAMSsoftcoverISBN978-0-8218-1937-1©1991bytheAmericanMathematicalSociety.Allrightsreserved.ReprintedbytheAm

8、ericanMathematicalSociety,2008.TranslationauthorizedbytheAll-UnionAgencyforAuthors'Rights,MoscowTheAmericanMathematicalSocietyretainsallrightsexceptthosegrantedtotheU