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1、ISNMInternationalSeriesofNumericalMathematicsVolume153ManagingEditors:Karl-HeinzHoffmann,BonnD.Mittelmann,TempeAssociateEditors:R.E.Bank,LaJollaH.Kawarada,ChibaR.J.LeVeque,SeattleC.Verdi,MilanoHonoraryEditor:J.Todd,PasadenaNonlinearPartialDifferentialEquationswithApplicationsTomásˇRoubícˇekBirkhäu
2、serVerlagBasel.Boston.BerlinAuthor:TomásˇRoubícˇekSchoolofMathematicsCharlesUniversityFacultyofMathematicsandPhysicsSokolovská8318675Praha8-KarlinCzechRepublic2000MathematicsSubjectClassification:Primary35Jxx,35Kxx,35Qxx,47Hxx,47Jxx,49Jxx;Secondary65Mxx,65Nxx,74Bxx,74Fxx,76Dxx,76Rxx,80AxxACIPcatal
3、oguerecordforthisbookisavailablefromtheLibraryofCongress,WashingtonD.C.,USABibliographicinformationpublishedbyDieDeutscheBibliothekDieDeutscheBibliothekliststhispublicationintheDeutscheNationalbibliografie;detailedbibliographicdataisavailableintheInternetat.ISBN3-7643-7293-1Birk
4、häuserVerlag,Basel–Boston–BerlinThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,re-useofillustrations,recitation,broadcasting,reproductiononmicrofilmsorinotherways,andstorageindatabanks.Foranykindofuse,pe
5、rmissionofthecopyrightownermustbeobtained.©2005BirkhäuserVerlag,P.O.Box133,CH-4010Basel,SwitzerlandPartofSpringerScience+BusinessMediaPrintedonacid-freepaperproducedfromchlorine-freepulp.TCF∞PrintedinGermanyISBN-10:3-7643-7293-1e-ISBN:3-7643-7397-0ISBN-13:978-3-7643-7293-4987654321www.birkhauser.c
6、hTothememoryofprofessorJindˇrichNeˇcasContentsPrefacexiNotationalconventionsxv1Preliminarygeneralmaterial11.1Functionalanalysis...........................11.1.1Normedspaces,Banachspaces,locallyconvexspaces....11.1.2FunctionsandmappingsonBanachspaces,dualspaces..31.1.3Convexsets....................
7、.......61.1.4Compactness..........................71.1.5Fixed-pointtheorems.....................81.2Functionspaces.............................81.2.1Continuousandsmoothfunctions...............91.2.2Lebesgueintegr
