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1、BirkhäuserAdvancedTextsEditedbyHerbertAmann,ZürichUniversityStevenG.Krantz,WashingtonUniversity,St.LouisShrawanKumar,UniversityofNorthCarolinaatChapelHillJanNekovář,UniversitéPierreetMarieCurie,ParisPavolQuittnerPhilippeSoupletSuperlinearParabolicProblemsBlow-up,GlobalExistenceandSteadySt
2、atesBirkhäuserBasel·Boston·BerlinAuthors:PavolQuittnerPhilippeSoupletDepartmentofAppliedMathematicsLaboratoireAnalyseGéométrieetApplicationsandStatisticsUMRCNRS7539-InstitutGaliléeComeniusUniversityUniversitéParis-NordMlynskádolina99av.J.-B.Clément84248Bratislava93430VilletaneuseSlovakiaF
3、rancee-mail:quittner@fmph.uniba.sksouplet@math.univ-paris13.fr2000MathematicsSubjectClassi¿cation:primary35-01,35-02,35B(35B05,35B30,35B33,35B35,35B40,35B45,35B50,35B60,35B65),35J(35J55,35J60,35J65),35K(35K50,35K55,35K60);secondary35A07,35A20,35B10,25B20,35B37,35B41,35C15,35D05,35D10,35J2
4、0,35H25,35K05,35K15,35K20,35K40,35K45,35P30,45K05,46B70,46E30,46E35,46N20,47D06,47D60,78A55,80A20,80A25,92C15,92D25,92E20,93C20LibraryofCongressControlNumber:2007929012BibliographicinformationpublishedbyDieDeutscheBibliothekDieDeutscheBibliothekliststhispublicationintheDeutscheNationalbib
5、liogra¿e;detailedbibliographicdataisavailableintheInternetat.ISBN978-3-7643-8441-8BirkhäuserVerlagAG,BaselÂBostonÂBerlinThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,speci¿callytherightsoftranslation,reprinting,re-useofi
6、llustrations,recitation,broadcasting,reproductiononmicro¿lmsorinotherways,andstorageindatabanks.Foranykindofusepermissionofthecopyrightownermustbeobtained.©2007BirkhäuserVerlagAGBasel·Boston·BerlinP.O.Box133,CH-4010Basel,SwitzerlandPartofSpringerScience+BusinessMediaPrintedonacid-freepape
7、rproducedofchlorine-freepulp.TCFÑPrintedinGermanyISBN978-3-7643-8441-8e-ISBN978-3-7643-8442-5987654321www.birkhauser.chContentsIntroduction...........................................................ix1.Preliminaries...................................................
